Multiple Solutions for a Differential Inclusion Problem with Nonhomogeneous Boundary Conditions |
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| Authors: | Hannelore Lisei Csaba Varga |
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| Institution: | 1. Faculty of Mathematics and Computer Science, Babe?-Bolyai University , Cluj-Napoca, Romania hanne@math.ubbcluj.ro;3. Faculty of Mathematics and Computer Science, Babe?-Bolyai University , Cluj-Napoca, Romania |
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| Abstract: | In this paper, we use a mountain pass theorem with Cerami type conditions for locally Lipschitz functions to investigate the existence of at least one nontrivial solution for a differential inclusion problem involving the p-Laplacian and with nonlinear and nonsmooth boundary conditions. Moreover, by a symmetric version of the mountain pass theorem, we prove the existence of infinitely many solutions. |
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| Keywords: | Boundary value problem for partial differential inclusions Cerami type condition Critical points Mountain pass theorem |
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