Qualitative properties and construction of solutions to some semilinear elliptic PDEs

Title	Qualitative properties and construction of solutions to some semilinear elliptic PDEs
Publication Type	Thesis
Year of Publication	2016
Authors	Rizzi, M
University	SISSA
Keywords	moving 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.
Custom 1	35500
Custom 5	MAT/05
Custom 6	Submitted by mrizzi@sissa.it (mrizzi@sissa.it) on 2016-07-11T13:48:21Z No. of bitstreams: 1 tesi_finale.pdf: 1142117 bytes, checksum: 481f2b0713509231cd3a6f8ead92bf59 (MD5)

Research Group:

Mathematics