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

In this paper, we construct a Rabinowitz–Floer type homology for a class of non-linear problems having a 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. [ABSTRACT FROM AUTHOR]