Minimax Methods for Variational-Hemivariational Inequalities

1999 ◽  
pp. 59-92 ◽  
Author(s):  
D. Motreanu ◽  
P. D. Panagiotopoulos
Keyword(s):  
Hemivariational Inequalities ◽  
Minimax Methods

Multiple Solutions for Resonant Hemivariational Inequalities via Minimax Methods

2009 ◽  
Vol 9 (3) ◽  
Author(s):  
Sophia Th. Kyritsi ◽  
Donal O’ Regan ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Multiple Solutions ◽  
Principal Eigenvalue ◽  
Point Theory ◽  
Hemivariational Inequalities ◽  
Dirichlet Problems ◽  
Nonsmooth Critical Point Theory ◽  
Minimax Methods ◽  
Nonsmooth Critical Point ◽  
Multiplicity Theorem ◽  
The Right

AbstractIn this paper we consider nonlinear Dirichlet problems driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequalities). We assume that the problem is resonant at infinity with respect to λ1 > 0 (the principal eigenvalue of the Dirichlet p-Lapalcian) from the right. Using minimax methods based on the nonsmooth critical point theory we prove an existence and a multiplicity theorem.

A novel approach to Hölder continuity of a class of parametric variational–hemivariational inequalities

2021 ◽  
Vol 49 (2) ◽  
pp. 283-289
Author(s):  
Nguyen Van Hung ◽  
Vo Minh Tam ◽  
Zhenhai Liu ◽  
Jen Chih Yao
Keyword(s):  
Hölder Continuity ◽  
Hemivariational Inequalities ◽  
Holder Continuity ◽  
Novel Approach

Penalty Method for a Class of Differential Hemivariational Inequalities with Application

2021 ◽  
pp. 1-23
Author(s):  
Zakaria Faiz ◽  
Othmane Baiz ◽  
Hicham Benaissa ◽  
Driss El Moutawakil
Keyword(s):  
Penalty Method ◽  
Hemivariational Inequalities

Variational-hemivariational inverse problem for electro-elastic unilateral frictional contact problem

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Othmane Baiz ◽  
Hicham Benaissa ◽  
Zakaria Faiz ◽  
Driss El Moutawakil
Keyword(s):  
Inverse Problem ◽  
Inverse Problems ◽  
Contact Problem ◽  
Existence And Uniqueness ◽  
Frictional Contact ◽  
Hemivariational Inequalities ◽  
Frictional Contact Problem ◽  
Uniqueness Of A Solution

AbstractIn the present paper, we study inverse problems for a class of nonlinear hemivariational inequalities. We prove the existence and uniqueness of a solution to inverse problems. Finally, we introduce an inverse problem for an electro-elastic frictional contact problem to illustrate our results.

scholarly journals Results on the approximate controllability of fractional hemivariational inequalities of order $1< r<2$

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
M. Mohan Raja ◽  
V. Vijayakumar ◽  
Le Nhat Huynh ◽  
R. Udhayakumar ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Fixed Point ◽  
Control Systems ◽  
Approximate Controllability ◽  
Hemivariational Inequalities ◽  
Evolution Inclusions ◽  
Fractional Systems ◽  
Cosine Families ◽  
Fixed Point Approach ◽  
Semilinear Control Systems ◽  
Theoretical Results

AbstractIn this paper, we investigate the approximate controllability of fractional evolution inclusions with hemivariational inequalities of order $1< r<2$ 1 < r < 2 . The main results of this paper are verified by using the fractional theories, multivalued analysis, cosine families, and fixed-point approach. At first, we discuss the existence of the mild solution for the class of fractional systems. After that, we establish the approximate controllability of linear and semilinear control systems. Finally, an application is presented to illustrate our theoretical results.

scholarly journals ON EIGENVALUE PROBLEMS FOR ELLIPTIC HEMIVARIATIONAL INEQUALITIES

2008 ◽  
Vol 51 (2) ◽  
pp. 407-419 ◽  
Author(s):  
Zhenhai Liu ◽  
Guifang Liu
Keyword(s):  
Dirichlet Problem ◽  
Eigenvalue Problems ◽  
Hemivariational Inequalities ◽  
Generalized Gradient ◽  
At Resonance ◽  
Quasilinear Elliptic ◽  
First Eigenfunction

AbstractThis paper is devoted to the Dirichlet problem for quasilinear elliptic hemivariational inequalities at resonance as well as at non-resonance. Using Clarke's notion of the generalized gradient and the property of the first eigenfunction, we also build a Landesman–Lazer theory in the non-smooth framework of quasilinear elliptic hemivariational inequalities.

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