Some Remarks on the Fucik Spectrum of the p-Laplacian and Critical Groups

Details Some Remarks on the Fucik Spectrum of the p-Laplacian and Critical Groups Some Remarks on the Fucik Spectrum of the p-Laplacian and Critical Groups

2000-11-17

arxiv.org/abs/math/0011131v1

Mathematics

Analysis of PDEs

To be published in J. Math. Anal. Appl., 17 pages, see http://winnie.fit.edu/~kperera/ for related papers

Scientific paper

We compute critical groups of variational functionals arising from quasilinear elliptic boundary value problems with jumping nonlinearities, when the asymptotic limits of the equation lie in various regions of the plane that are separated by certain curves of the Fucik spectrum. As an application some existence and multiplicity results are established via Morse theoretic and perturbation arguments.

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