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Local and Global Aspects of Quasilinear Degenerate Elliptic Equations : Quasilinear Elliptic Singular

Local and Global Aspects of Quasilinear Degenerate Elliptic Equations : Quasilinear Elliptic Singular - image 1 of 1

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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 dominent lower order reaction term. Emphasis is put on three aspects: The existence of separable singular solutions enlights 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 Wolf 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.
Number of Pages: 457.0
Genre: Mathematics
Format: Hardcover
Publisher: World Scientific Pub Co Inc
Author: Laurent Vu00e9ron
Language: English
Street Date: August 30, 2017
TCIN: 52742927
UPC: 9789814730327
Item Number (DPCI): 248-47-2002

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