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Partial Differential Inequalities with Nonlinear Convolution Terms / / Marius Ghergu
| Partial Differential Inequalities with Nonlinear Convolution Terms / / Marius Ghergu |
| Autore | Ghergu Marius |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (viii, 136 pages) : illustrations |
| Disciplina | 515.353 |
| Collana | SpringerBriefs in Mathematics Series |
| Soggetto topico |
Differential equations, Partial
Differential inequalities |
| ISBN |
9783031218569
9783031218552 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- 1 Preliminary facts -- 1.1 Motivation -- 1.2 Equations Versus Inequalities -- 2 Quasilinear Elliptic Inequalities with Convolution Terms -- 2.1 Introduction and Examples -- 2.2 A Priori Estimates -- 2.3 Nonexistence Results -- 2.4 Existence of Solutions in RN -- 2.5 Existence of Solutions in Bounded Domains -- 2.6 Conclusions and Further Remarks -- 3 Singular and Bounded Solutions for Quasilinear Inequalities -- 3.1 Introduction -- 3.2 An L∞loc Regularity Criterion -- 3.3 Keller-Osserman Estimates -- 3.4 Singular Solutions -- 3.5 A Double Inequality -- 3.6 Conclusions and Further Remarks -- 4 Polyharmonic Inequalities with Convolution Terms -- 4.1 Introduction -- 4.2 An Integral Representation Formulae -- 4.3 An a Priori Estimate -- 4.4 The Inequality -(-)m u ≥(K*up )uq in RN -- 4.5 The Inequality (-)m u ≥(K*up)uq in RN -- 4.6 Polyharmonic Systems with Convolution Terms -- 4.7 Conclusions and Further Remarks -- 5 Quasilinear Parabolic Inequalities with Convolution Terms -- 5.1 Introduction -- 5.2 The Inequality ∂u∂t-L u≥(Kup)uq in RN(0,∞) -- 5.3 The Inequality ∂u∂t+L u≥(Kup)uq in RN(0,∞) -- 5.4 Conclusions and Further Remarks -- 6 Higher-Order Evolution Inequalities with Convolution Terms -- 6.1 Introduction -- 6.2 The Main Result -- 6.3 Two Consequences of the Main Result -- 6.4 Conclusions and Further Remarks -- A Some Properties of Superharmonic Functions -- B Harnack Inequalities for Quasilinear Elliptic Operators -- Bibliography -- Index. |
| Record Nr. | UNINA-9910637713803321 |
Ghergu Marius
|
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Partial Differential Inequalities with Nonlinear Convolution Terms / / Marius Ghergu
| Partial Differential Inequalities with Nonlinear Convolution Terms / / Marius Ghergu |
| Autore | Ghergu Marius |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (viii, 136 pages) : illustrations |
| Disciplina | 515.353 |
| Collana | SpringerBriefs in Mathematics Series |
| Soggetto topico |
Differential equations, Partial
Differential inequalities Equacions en derivades parcials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031218569
9783031218552 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- 1 Preliminary facts -- 1.1 Motivation -- 1.2 Equations Versus Inequalities -- 2 Quasilinear Elliptic Inequalities with Convolution Terms -- 2.1 Introduction and Examples -- 2.2 A Priori Estimates -- 2.3 Nonexistence Results -- 2.4 Existence of Solutions in RN -- 2.5 Existence of Solutions in Bounded Domains -- 2.6 Conclusions and Further Remarks -- 3 Singular and Bounded Solutions for Quasilinear Inequalities -- 3.1 Introduction -- 3.2 An L∞loc Regularity Criterion -- 3.3 Keller-Osserman Estimates -- 3.4 Singular Solutions -- 3.5 A Double Inequality -- 3.6 Conclusions and Further Remarks -- 4 Polyharmonic Inequalities with Convolution Terms -- 4.1 Introduction -- 4.2 An Integral Representation Formulae -- 4.3 An a Priori Estimate -- 4.4 The Inequality -(-)m u ≥(K*up )uq in RN -- 4.5 The Inequality (-)m u ≥(K*up)uq in RN -- 4.6 Polyharmonic Systems with Convolution Terms -- 4.7 Conclusions and Further Remarks -- 5 Quasilinear Parabolic Inequalities with Convolution Terms -- 5.1 Introduction -- 5.2 The Inequality ∂u∂t-L u≥(Kup)uq in RN(0,∞) -- 5.3 The Inequality ∂u∂t+L u≥(Kup)uq in RN(0,∞) -- 5.4 Conclusions and Further Remarks -- 6 Higher-Order Evolution Inequalities with Convolution Terms -- 6.1 Introduction -- 6.2 The Main Result -- 6.3 Two Consequences of the Main Result -- 6.4 Conclusions and Further Remarks -- A Some Properties of Superharmonic Functions -- B Harnack Inequalities for Quasilinear Elliptic Operators -- Bibliography -- Index. |
| Record Nr. | UNISA-996503549803316 |
|
Ghergu Marius
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||