THREE NONTRIVIAL SOLUTIONS FOR A QUASILINEAR ELLIPTIC DIFFERENTIAL EQUATION AT RESONANCE WITH DISCONTINUOUS RIGHT HAND SIDE
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概要
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We study a quasilinear elliptic equation at resonance with discontinuous right hand side. To have an existence theory, we pass to a multivalued version of the problem by filling in the gaps at the discontinuity points. Using the nonsmooth critical point theory of Chang for lically Lipschitz functionals and the Ekeland variational principle, we show that the resulting elliptic inclusion has three distinct nontrivial solutions.
- Yokohama City University and Yokohama National Universityの論文
- 1999-00-00
Yokohama City University and Yokohama National University | 論文
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