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We study a differential inclusion problem in R^N involving the p-Laplace operator and a (p−1)-sublinear term, p > N > 1. Our main result is a multiplicity theorem; we also show the non-sensitivity of our problem with respect to small perturbations.

Mathematics Subject Classification (2010): 34A60, 58K05, 47J22, 47J30, 58E05.

Keywords: nonsmooth critical point, p-Laplace operator, locally Lipschitz function, differential inclusion, elliptic problem, radially symmetric solution.