Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points

Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points
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Book Synopsis Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points by : Thi Thu Huong Nguyen

Download or read book Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points written by Thi Thu Huong Nguyen and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. 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 ...


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These notes build to a proof of a local-in-time existence result for quasilinear hyperbolic evolution equations of second order in domains with conical points.