Nonlinear eigenvalue Neumann problems with discontinuities |
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Authors: | Francesca Papalini |
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Institution: | Department of Mathematics, University of Ancona, Via Brecce Bianche, Ancona 60131, Italy |
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Abstract: | In this paper we study nonlinear eigenvalue problems with Neumann boundary conditions and discontinuous terms. First we consider a nonlinear problem involving the p-Laplacian and we prove the existence of a solution for the multivalued approximation of it, then we pass to semilinear problems and we prove the existence of multiple solutions. The approach is based on the critical point theory for nonsmooth locally Lipschitz functionals. |
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Keywords: | Locally Lipschitz functional Subdifferential Discontinuous terms Multivalued problem p-Laplacian Neumann boundary conditions Eigenvalue |
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