An existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities
Keywords
quasilinear elliptic boundary value problems, jumping nonlinearities, Fucik spectrum, critical point theory on $C^1$-Finsler manifolds, homotopy theory, linking, min-max principleAbstract
We establish an existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities using variational arguments. First we calculate certain homotopy groups of sublevel sets of the asymptotic part of the variational functional. Then we use these groups to show that the full functional admits a linking geometry and hence a min-max critical point.Downloads
Published
2002-09-01
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1.
PERERA, Kanishka. An existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities. Topological Methods in Nonlinear Analysis [online]. 1 September 2002, T. 20, nr 1, s. 135–144. [accessed 9.6.2023].
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