In this paper, we use a perturbed version of the Rabinowitz–Floer homology to find solutions to PDE's with jumping nonlinearities. As applications, we find branches for the Fucik spectrum for the Laplace equation and for systems on manifolds that fiber over S^1.
Homological approach to problems with jumping non-linearity / Maalaoui, Ali; Martino, Vittorio. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 144:(2016), pp. 165-181. [10.1016/j.na.2016.07.003]
Homological approach to problems with jumping non-linearity
MARTINO, VITTORIO
2016
Abstract
In this paper, we use a perturbed version of the Rabinowitz–Floer homology to find solutions to PDE's with jumping nonlinearities. As applications, we find branches for the Fucik spectrum for the Laplace equation and for systems on manifolds that fiber over S^1.File in questo prodotto:
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