Multiple Solutions for Degenerate Elliptic Systems Near Resonance at Higher Eigenvalues

Yu-Cheng An and Hong-Min Suo

Abstract and Applied Analysis, 2012, vol. 2012, 1-19

Abstract:

We study the degenerate semilinear elliptic systems of the form , where is an open bounded domain with smooth boundary , the measurable, nonnegative diffusion coefficients , are allowed to vanish in (as well as at the boundary ) and/or to blow up in . Some multiplicity results of solutions are obtained for the degenerate elliptic systems which are near resonance at higher eigenvalues by the classical saddle point theorem and a local saddle point theorem in critical point theory.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:532430

DOI: 10.1155/2012/532430

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