Geodesic
Discontinuous quasilinear elliptic problems at resonance
Colloquium Mathematicum, Tome 78 (1998) no. 2, pp. 213-223.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.
DOI : 10.4064/cm-78-2-213-223
Keywords: compact embedding, Poincaré's inequality, Palais-Smale condition, critical point, variational method, Mountain Pass Theorem, subdifferential, problems at resonance, locally Lipschitz functional

Nikolaos Kourogenis 1 ; Nikolaos Papageorgiou 1

1 
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Nikolaos Kourogenis; Nikolaos Papageorgiou. Discontinuous quasilinear elliptic problems at resonance. Colloquium Mathematicum, Tome 78 (1998) no. 2, pp. 213-223. doi : 10.4064/cm-78-2-213-223. http://geodesic.mathdoc.fr/articles/10.4064/cm-78-2-213-223/

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