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[null,"1.","Record Nr.",null,"UNINA9910819073203321"]
[null,null,"Autore",null,"Bianchini Bruno <1958->"]
[null,null,"Titolo",null,"On some aspects of oscillation theory and geometry / / Bruno Bianchini, Luciano Mari, Marco Rigoli"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2012"]
[{"$nulls":4},"©2012"]
[null,null,"ISBN",null,"1-4704-1056-7"]
[null,null,"Descrizione fisica",null,"1 online resource (208 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 225, Number 1056"]
[null,null,"Disciplina",null,"515.352"]
[null,null,"Soggetti",null,"Difference equations - Oscillation theory"]
[{"$nulls":4},"Spectral theory (Mathematics)"]
[{"$nulls":4},"Differential equations, Elliptic"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 225, Number 1056 (first of 4 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Chapter 1. Introduction\"\"; \"\"Chapter 2. The Geometric setting\"\"; \"\"2.1. Cut-locus and volume growth function\"\"; \"\"2.2. Model manifolds and basic comparisons\"\"; \"\"2.3. Some spectral theory on manifolds\"\"; \"\"Chapter 3. Some geometric examples related to oscillation theory\"\"; \"\"3.1. Conjugate points and Myers type compactness results\"\"; \"\"3.2. The spectrum of the Laplacian on complete manifolds\"\"; \"\"3.3. Spectral estimates and immersions\"\"; \"\"3.4. Spectral estimates and nonlinear PDE\"\"; \"\"Chapter 4. On the solutions of the ODE (    â€?)â€?+      =0\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"6.3. Instability and index of -Î?-  (  )\"\"\"\"6.4. Some remarks on minimal surfaces\"\"; \"\"6.5. Newton operators, unstable hypersurfaces and the Gauss map\"\"; \"\"6.6. Dealing with a possibly negative potential\"\"; \"\"6.7. An extension of Calabi compactness criterion\"\"; \"\"Chapter 7. Much above the critical curve\"\"; \"\"7.1. Controlling the oscillation\"\"; \"\"7.2. The "]
[{"$nulls":4},"growth of the index of -Î?-  (  )\"\"; \"\"7.3. The essential spectrum of -Î? and punctured manifolds\"\"; \"\"Bibliography\"\""]