The Rabinowitz-Floer homology for a class of semilinear problems and applications

Abstract

In this paper, we construct a Rabinowitz-Floer type homology for a class of non-linear problems having a \emph{starshaped} potential; we consider some equivariant cases as well. We give an explicit computation of the homology and we apply it to obtain results of existence and multiplicity of solutions for several model equations.

arXiv comment32 pages. arXiv admin note: substantial text overlap with arXiv:1303.5008