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Perturbations of Hemivariational Inequalities with Constraints and Applications

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Abstract

The aim of the present paper is to discuss the influence which certain perturbations have on the solution of the eigenvalue problem for hemivariational inequalities on a sphere of given radius. The perturbation results in adding a term of the type >g 0(x, u(x); v(x)) to the hemivariational inequality, where g is a locally Lipschitz nonsmooth and nonconvex energy functional. Applications illustrate the theory.

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Authors and Affiliations

  1. Department of Mathematics, University of Craiova, RO-1100, Craiova, Romania

    Vicentiu D. Rădulescu

  2. Department of Civil Engineering, Aristotle University, GR-54006, Thessaloniki, Greece and

    Panagiotis D. Panagiotopoulos

  3. Faculty of Mathematics and Physics, RWTH, D-52062, Aachen, Germany

    Panagiotis D. Panagiotopoulos

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  1. Vicentiu D. Rădulescu
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  2. Panagiotis D. Panagiotopoulos
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Rădulescu, V.D., Panagiotopoulos, P.D. Perturbations of Hemivariational Inequalities with Constraints and Applications. Journal of Global Optimization 12, 285–297 (1998). https://doi.org/10.1023/A:1008202607741

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