Existence results for quasilinear parabolic hemivariational inequalities

By Zhenhai Liu. 2008

107 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/454ace5187033e552bc1360a18a5efe8cab6980b

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In Computational Theory and Mathematics

1. Shengda Zeng
2. Zhenhai Liu
3. Xiuwen Li
4. Yunru Bai
5. Patrick Winkert
6. Stanislaw Migórski
7. Csaba Farkas

In Mechanics of Materials

1. Shengda Zeng
2. Yunru Bai
3. Xiuwen Li
4. Zhenhai Liu

Citations in the corpus

• Maximum Principles for Multi-Term Space-Time Variable-Order Fractional Diffusion Equations and their Applications (2016, background): “[3, 4, 5, 6, 7, 8, 9, 19, 20, 24]) can be all described in terms of the variable order fractional differential equations.”
• Well-posedness of Hemivariational Inequalities and Inclusion Problems (2011, unknown): “Recently, the hemivariational inequality theory with applications have been intensively studied by many authors (see, for example, [3, 8, 9, 25, 32, 33, 35-37, 39, 42-45]).”
• Approximate controllability for a class of hemivariational inequalities (2015, background): “For more details on these topics, one can see [4–12] and the references therein.”