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| We study a partial differential inclusion driven by the p-Laplacian operator, with a locally Lipschitz potential and a Neumann boundary condition. The potential is assumed to be p-superlinear at infinity. Following Wang (1991), we prove the existence of a positive and a negative solution via variational methods. Then, using the non-smooth critical groups and the non-smooth Morse identity introduced by Corvellec (1995), we prove the existence of a third non-zero solution. |
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