Existence results for quasilinear parabolic hemivariational inequalities |
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Authors: | Zhenhai Liu |
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Affiliation: | Department of Mathematics, Central South University, Changsha, Hunan 410075, PR China |
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Abstract: | This paper is devoted to the periodic problem for quasilinear parabolic hemivariational inequalities at resonance as well as at nonresonance. By use of the theory of multi-valued pseudomonotone operators, the notion of generalized gradient of Clarke and the property of the first eigenfunction, we build a Landesman-Lazer theory in the nonsmooth framework of quasilinear parabolic hemivariational inequalities. |
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Keywords: | 35A15 35K85 49J40 |
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