World Scientific Publishing Company
Local and Global Aspects of Quasilinear Degenerate Elliptic Equations : Quasilinear Elliptic Singular Problems
Product Code:
9789814730327
ISBN13:
9789814730327
Condition:
New
$181.47
This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects: The existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem. When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed. When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity.
| Author: Laurent Veron |
| Publisher: World Scientific Publishing Company |
| Publication Date: Jun 14, 2017 |
| Number of Pages: 457 pages |
| Language: English |
| Binding: Hardcover |
| ISBN-10: 9814730327 |
| ISBN-13: 9789814730327 |
Local and Global Aspects of Quasilinear Degenerate Elliptic Equations : Quasilinear Elliptic Singular Problems
$181.47
This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects: The existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem. When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed. When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity.
| Author: Laurent Veron |
| Publisher: World Scientific Publishing Company |
| Publication Date: Jun 14, 2017 |
| Number of Pages: 457 pages |
| Language: English |
| Binding: Hardcover |
| ISBN-10: 9814730327 |
| ISBN-13: 9789814730327 |
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