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arXiv · 1503.02418

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

Ali Maalaoui·Vittorio Martino
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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.

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Ali Maalaoui, Vittorio Martino. 2015-03-09. The Rabinowitz-Floer homology for a class of semilinear problems and applications. https://arxiv.org/abs/1503.02418

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