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Qualitative properties and construction of solutions to some semilinear elliptic PDEs

TitleQualitative properties and construction of solutions to some semilinear elliptic PDEs
Publication TypeThesis
Year of Publication2016
AuthorsRizzi, M
UniversitySISSA
Keywordsmoving planes method, maximum principle, Lyapunov-Schmidt reduction, Willmore surfaces, Otha-Kawasaki functional
Abstract

This thesis is devoted to the study of elliptic equations. On the one hand,
we study some qualitative properties, such as symmetry of solutions, on the other
hand we explicitly construct some solutions vanishing near some fixed manifold. The main techniques are the moving planes method, in order to investigate the qualitative properties and the Lyapunov-Schmidt reduction.

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Submitted by mrizzi@sissa.it (mrizzi@sissa.it) on 2016-07-11T13:48:21Z
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