Multiplicity of solutions for a class of nonsymmetric eigenvalue hemivariational inequalities |
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Authors: | FLORICA ST CÎRSTEA VICENTIU D RĂDULESCU |
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Institution: | (1) Department of Mathematics, University of Craiova, 1100 Craiova, Romania |
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Abstract: | The aim of this paper is to establish the influence of a non-symmetric perturbation for a symmetric hemivariational eigenvalue inequality with constraints. The original problem was studied by Motreanu and Panagiotopoulos who deduced the existence of infinitely many solutions for the symmetric case. In this paper it is shown that the number of solutions of the perturbed problem becomes larger and larger if the perturbation tends to zero with respect to a natural topology. Results of this type in the case of semilinear equations have been obtained in 1] Ambrosetti, A. (1974), A perturbation theorem for superlinear boundary value problems, Math. Res. Center, Univ. Wisconsin-Madison, Tech. Sum. Report 1446; and 2] Bahri, A. and Berestycki, H. (1981), A perturbation method in critical point theory and applications, Trans. Am. Math. Soc. 267, 1–32; for perturbations depending only on the argument. |
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Keywords: | Critical point theory Essential value Hemivariational eigenvalue problem Perturbation from symmetry |
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