Elliptic problems with discontinuities |
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| Authors: | Nikolaos Halidias |
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| Affiliation: | Department of Statistics and Actuarial Science, University of the Aegean, 83200 Samos, Greece |
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| Abstract: | In this paper we prove two existence theorems for elliptic problems with discontinuities. The first one is a noncoercive Dirichlet problem and the second one is a Neumann problem. We do not use the method of upper and lower solutions. For Neumann problems we assume that f is nondecreasing. We use the critical point theory for locally Lipschitz functionals. |
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| Keywords: | Discontinuous nonlinearities Countable number of discontinuities Critical point theory Locally Lipschitz functionals |
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