Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points
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Author | : Thi Thu Huong Nguyen |
Publisher | : |
Total Pages | : 0 |
Release | : 2014 |
ISBN-10 | : OCLC:931558518 |
ISBN-13 | : |
Rating | : 4/5 (18 Downloads) |
Book Synopsis Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points by : Thi Thu Huong Nguyen
Book excerpt: Existence and regularity of solutions of quasilinear elliptic equations in nonsmooth domains have been interesting topics in the development of partial differential equations. The existence of finite-energy solutions of higher-order equations, also those with degenerations and singularities, can be shown by theories of monotone operators and topological methods. There are few results about singular solutions of second-order equations involving the p-Laplacian with the Dirac distribution on the right-hand side. So far the existence of singular solutions of higher-order equations with a presc ...