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.

Qualitative properties and construction of solutions to some semilinear elliptic PDEs / Rizzi, Matteo. - (2016 Aug 26).

Qualitative properties and construction of solutions to some semilinear elliptic PDEs

Rizzi, Matteo
2016

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.
Farina, Alberto
Malchiodi, Andrea
Rizzi, Matteo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/4914
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