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Maximum principles and geometric applications / / by Luis J. Alías, Paolo Mastrolia, Marco Rigoli
| Maximum principles and geometric applications / / by Luis J. Alías, Paolo Mastrolia, Marco Rigoli |
| Autore | Alías Luis J |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (594 p.) |
| Disciplina | 510 |
| Collana | Springer Monographs in Mathematics |
| Soggetto topico |
Global analysis (Mathematics)
Manifolds (Mathematics) Differential equations, Partial Geometry Global Analysis and Analysis on Manifolds Partial Differential Equations |
| ISBN | 3-319-24337-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A crash course in Riemannian geometry -- The Omori-Yau maximum principle -- New forms of the maximum principle -- Sufficient conditions for the validity of the weak maximum principle -- Miscellany results for submanifolds -- Applications to hypersurfaces -- Hypersurfaces in warped products -- Applications to Ricci Solitons -- Spacelike hypersurfaces in Lorentzian spacetimes. |
| Record Nr. | UNINA-9910254082503321 |
Alías Luis J
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Maximum principles on Riemannian manifolds and applications / / Stefano Pigola, Marco Rigoli, Alberto G. Setti
| Maximum principles on Riemannian manifolds and applications / / Stefano Pigola, Marco Rigoli, Alberto G. Setti |
| Autore | Pigola Stefano <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina |
510 s
515/.3534 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Parabolic
Heat equation Diffusion processes |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0423-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""0. Introduction""; ""Chapter 1. Preliminaries and some geometric motivations""; ""Chapter 2. Further typical applications of Yau's technique""; ""Chapter 3. Stochastic Completeness and the Weak Maximum Principle""; ""Chapter 4. The Weak Maximum Principle for the α-Laplacian""; ""Chapter 5. α-parabolicity and Some Further Remarks""; ""Chapter 6. Curvature and the Maximum Principle for the α-Laplacian""; ""Bibliography"" |
| Record Nr. | UNINA-9910481015403321 |
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Pigola Stefano <1973->
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| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Maximum principles on Riemannian manifolds and applications / / Stefano Pigola, Marco Rigoli, Alberto G. Setti
| Maximum principles on Riemannian manifolds and applications / / Stefano Pigola, Marco Rigoli, Alberto G. Setti |
| Autore | Pigola Stefano <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina |
510 s
515/.3534 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Parabolic
Heat equation Diffusion processes |
| ISBN | 1-4704-0423-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""0. Introduction""; ""Chapter 1. Preliminaries and some geometric motivations""; ""Chapter 2. Further typical applications of Yau's technique""; ""Chapter 3. Stochastic Completeness and the Weak Maximum Principle""; ""Chapter 4. The Weak Maximum Principle for the α-Laplacian""; ""Chapter 5. α-parabolicity and Some Further Remarks""; ""Chapter 6. Curvature and the Maximum Principle for the α-Laplacian""; ""Bibliography"" |
| Record Nr. | UNINA-9910788748503321 |
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Pigola Stefano <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Maximum principles on Riemannian manifolds and applications / / Stefano Pigola, Marco Rigoli, Alberto G. Setti
| Maximum principles on Riemannian manifolds and applications / / Stefano Pigola, Marco Rigoli, Alberto G. Setti |
| Autore | Pigola Stefano <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina |
510 s
515/.3534 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Parabolic
Heat equation Diffusion processes |
| ISBN | 1-4704-0423-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""0. Introduction""; ""Chapter 1. Preliminaries and some geometric motivations""; ""Chapter 2. Further typical applications of Yau's technique""; ""Chapter 3. Stochastic Completeness and the Weak Maximum Principle""; ""Chapter 4. The Weak Maximum Principle for the α-Laplacian""; ""Chapter 5. α-parabolicity and Some Further Remarks""; ""Chapter 6. Curvature and the Maximum Principle for the α-Laplacian""; ""Bibliography"" |
| Record Nr. | UNINA-9910828656203321 |
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Pigola Stefano <1973->
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||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On some aspects of oscillation theory and geometry / / Bruno Bianchini, Luciano Mari, Marco Rigoli
| On some aspects of oscillation theory and geometry / / Bruno Bianchini, Luciano Mari, Marco Rigoli |
| Autore | Bianchini Bruno <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 515.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Difference equations - Oscillation theory
Spectral theory (Mathematics) Differential equations, Elliptic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1056-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. The Geometric setting""; ""2.1. Cut-locus and volume growth function""; ""2.2. Model manifolds and basic comparisons""; ""2.3. Some spectral theory on manifolds""; ""Chapter 3. Some geometric examples related to oscillation theory""; ""3.1. Conjugate points and Myers type compactness results""; ""3.2. The spectrum of the Laplacian on complete manifolds""; ""3.3. Spectral estimates and immersions""; ""3.4. Spectral estimates and nonlinear PDE""; ""Chapter 4. On the solutions of the ODE ( �)�+ =0""
""4.1. Existence, uniqueness and the behaviour of zeroes""""4.2. The critical curve: definition and main estimates""; ""Chapter 5. Below the critical curve""; ""5.1. Positivity and estimates from below""; ""5.2. Stability, index of -Î?- ( ) and the uncertainty principle""; ""5.3. A comparison at infinity for nonlinear PDE""; ""5.4. Yamabe type equations with a sign-changing nonlinearity""; ""5.5. Upper bounds for the number of zeroes of ""; ""Chapter 6. Exceeding the critical curve""; ""6.1. First zero and oscillation""; ""6.2. Comparison with known criteria"" ""6.3. Instability and index of -Î?- ( )""""6.4. Some remarks on minimal surfaces""; ""6.5. Newton operators, unstable hypersurfaces and the Gauss map""; ""6.6. Dealing with a possibly negative potential""; ""6.7. An extension of Calabi compactness criterion""; ""Chapter 7. Much above the critical curve""; ""7.1. Controlling the oscillation""; ""7.2. The growth of the index of -Î?- ( )""; ""7.3. The essential spectrum of -Î? and punctured manifolds""; ""Bibliography"" |
| Record Nr. | UNINA-9910480870103321 |
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Bianchini Bruno <1958->
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||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On some aspects of oscillation theory and geometry / / Bruno Bianchini, Luciano Mari, Marco Rigoli
| On some aspects of oscillation theory and geometry / / Bruno Bianchini, Luciano Mari, Marco Rigoli |
| Autore | Bianchini Bruno <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 515.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Difference equations - Oscillation theory
Spectral theory (Mathematics) Differential equations, Elliptic |
| ISBN | 1-4704-1056-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. The Geometric setting""; ""2.1. Cut-locus and volume growth function""; ""2.2. Model manifolds and basic comparisons""; ""2.3. Some spectral theory on manifolds""; ""Chapter 3. Some geometric examples related to oscillation theory""; ""3.1. Conjugate points and Myers type compactness results""; ""3.2. The spectrum of the Laplacian on complete manifolds""; ""3.3. Spectral estimates and immersions""; ""3.4. Spectral estimates and nonlinear PDE""; ""Chapter 4. On the solutions of the ODE ( �)�+ =0""
""4.1. Existence, uniqueness and the behaviour of zeroes""""4.2. The critical curve: definition and main estimates""; ""Chapter 5. Below the critical curve""; ""5.1. Positivity and estimates from below""; ""5.2. Stability, index of -Î?- ( ) and the uncertainty principle""; ""5.3. A comparison at infinity for nonlinear PDE""; ""5.4. Yamabe type equations with a sign-changing nonlinearity""; ""5.5. Upper bounds for the number of zeroes of ""; ""Chapter 6. Exceeding the critical curve""; ""6.1. First zero and oscillation""; ""6.2. Comparison with known criteria"" ""6.3. Instability and index of -Î?- ( )""""6.4. Some remarks on minimal surfaces""; ""6.5. Newton operators, unstable hypersurfaces and the Gauss map""; ""6.6. Dealing with a possibly negative potential""; ""6.7. An extension of Calabi compactness criterion""; ""Chapter 7. Much above the critical curve""; ""7.1. Controlling the oscillation""; ""7.2. The growth of the index of -Î?- ( )""; ""7.3. The essential spectrum of -Î? and punctured manifolds""; ""Bibliography"" |
| Record Nr. | UNINA-9910796035203321 |
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Bianchini Bruno <1958->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On some aspects of oscillation theory and geometry / / Bruno Bianchini, Luciano Mari, Marco Rigoli
| On some aspects of oscillation theory and geometry / / Bruno Bianchini, Luciano Mari, Marco Rigoli |
| Autore | Bianchini Bruno <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 515.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Difference equations - Oscillation theory
Spectral theory (Mathematics) Differential equations, Elliptic |
| ISBN | 1-4704-1056-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. The Geometric setting""; ""2.1. Cut-locus and volume growth function""; ""2.2. Model manifolds and basic comparisons""; ""2.3. Some spectral theory on manifolds""; ""Chapter 3. Some geometric examples related to oscillation theory""; ""3.1. Conjugate points and Myers type compactness results""; ""3.2. The spectrum of the Laplacian on complete manifolds""; ""3.3. Spectral estimates and immersions""; ""3.4. Spectral estimates and nonlinear PDE""; ""Chapter 4. On the solutions of the ODE ( �)�+ =0""
""4.1. Existence, uniqueness and the behaviour of zeroes""""4.2. The critical curve: definition and main estimates""; ""Chapter 5. Below the critical curve""; ""5.1. Positivity and estimates from below""; ""5.2. Stability, index of -Î?- ( ) and the uncertainty principle""; ""5.3. A comparison at infinity for nonlinear PDE""; ""5.4. Yamabe type equations with a sign-changing nonlinearity""; ""5.5. Upper bounds for the number of zeroes of ""; ""Chapter 6. Exceeding the critical curve""; ""6.1. First zero and oscillation""; ""6.2. Comparison with known criteria"" ""6.3. Instability and index of -Î?- ( )""""6.4. Some remarks on minimal surfaces""; ""6.5. Newton operators, unstable hypersurfaces and the Gauss map""; ""6.6. Dealing with a possibly negative potential""; ""6.7. An extension of Calabi compactness criterion""; ""Chapter 7. Much above the critical curve""; ""7.1. Controlling the oscillation""; ""7.2. The growth of the index of -Î?- ( )""; ""7.3. The essential spectrum of -Î? and punctured manifolds""; ""Bibliography"" |
| Record Nr. | UNINA-9910819073203321 |
|
Bianchini Bruno <1958->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Vanishing and finiteness results in geometric analysis [[electronic resource] ] : a generalization of the Bochner technique / / Stefano Pigola, Marco Rigoli, Alberto G. Setti
| Vanishing and finiteness results in geometric analysis [[electronic resource] ] : a generalization of the Bochner technique / / Stefano Pigola, Marco Rigoli, Alberto G. Setti |
| Autore | Pigola Stefano <1973-> |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Basel ; ; Boston, : Birkhauser, c2008 |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 516.3/62 |
| Altri autori (Persone) |
RigoliMarco
SettiAlberto G <1960-> (Alberto Giulio) |
| Collana | Progress in mathematics |
| Soggetto topico |
Riemannian manifolds
Bochner technique Geometry, Riemannian Differential equations |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-37857-7
9786611378578 3-7643-8642-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Harmonic, pluriharmonic, holomorphic maps and basic Hermitian and Kählerian geometry -- Comparison Results -- Review of spectral theory -- Vanishing results -- A finite-dimensionality result -- Applications to harmonic maps -- Some topological applications -- Constancy of holomorphic maps and the structure of complete Kähler manifolds -- Splitting and gap theorems in the presence of a Poincaré-Sobolev inequality. |
| Record Nr. | UNINA-9910451263703321 |
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Pigola Stefano <1973->
|
||
| Basel ; ; Boston, : Birkhauser, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Vanishing and finiteness results in geometric analysis [[electronic resource] ] : a generalization of the Bochner technique / / Stefano Pigola, Marco Rigoli, Alberto G. Setti
| Vanishing and finiteness results in geometric analysis [[electronic resource] ] : a generalization of the Bochner technique / / Stefano Pigola, Marco Rigoli, Alberto G. Setti |
| Autore | Pigola Stefano <1973-> |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Basel ; ; Boston, : Birkhauser, c2008 |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 516.3/62 |
| Altri autori (Persone) |
RigoliMarco
SettiAlberto G <1960-> (Alberto Giulio) |
| Collana | Progress in mathematics |
| Soggetto topico |
Riemannian manifolds
Bochner technique Geometry, Riemannian Differential equations |
| ISBN |
1-281-37857-7
9786611378578 3-7643-8642-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Harmonic, pluriharmonic, holomorphic maps and basic Hermitian and Kählerian geometry -- Comparison Results -- Review of spectral theory -- Vanishing results -- A finite-dimensionality result -- Applications to harmonic maps -- Some topological applications -- Constancy of holomorphic maps and the structure of complete Kähler manifolds -- Splitting and gap theorems in the presence of a Poincaré-Sobolev inequality. |
| Record Nr. | UNINA-9910777457403321 |
|
Pigola Stefano <1973->
|
||
| Basel ; ; Boston, : Birkhauser, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||