Discontinuous quasilinear elliptic problems at resonance
Tom 78 / 1998
Colloquium Mathematicum 78 (1998), 213-223
DOI: 10.4064/cm-78-2-213-223
Streszczenie
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.
