Results 31 to 40 of about 129 (115)
Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 Let X be a real locally uniformly convex reflexive separable Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗ be maximal monotone and S : X⊇D(S) → X∗ quasibounded generalized pseudomonotone such that there exists a real reflexive separable Banach space W ⊂ D(S), dense and continuously embedded in X. Assume, further, that there
Teffera M. Asfaw, Naseer Shahzad
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On the well-posedness of differential quasi-variational-hemivariational inequalities
Open Mathematics, 2020 The goal of this paper is to discuss the well-posedness and the generalized well-posedness of a new kind of differential quasi-variational-hemivariational inequality (DQHVI) in Hilbert spaces.
Cen Jinxia +3 more
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Solvability of nonlinear variational–hemivariational inequalities
Journal of Mathematical Analysis and Applications, 2005 The paper presents an existence result for a homogeneous Dirichlet problem driven by the \(p\)-Laplacian and containing the difference of two multi-valued terms, one given by the generalized gradient of a locally Lipschitz functional and the other equal to the subdifferential of a convex, proper, lower semicontinuous functional.
Filippakis, Michael E. +1 more
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Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 This paper is devoted to the various coercivity conditions in order to guarantee existence of solutions and boundedness of the solution set for the variational‐hemivariational inequalities involving upper semicontinuous operators. The results presented in this paper generalize and improve some known results.
Guo-ji Tang +3 more
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Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
Nonlinear Analysis, 2021 In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal
Emilio Vilches, Shengda Zeng
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Evolution of the Minimax Inequality of Ky Fan
Journal of Operators, Volume 2013, Issue 1, 2013., 2013 There are quite a few generalizations or applications of the 1984 minimax inequality of Ky Fan compared with his original 1972 minimax inequality. In a certain sense, the relationship between the 1984 inequality and several hundreds of known generalizations of the original 1972 inequality has not been recognized for a long period.
Sehie Park, Ram U. Verma
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Elliptic variational hemivariational inequalities
Applied Mathematics Letters, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A System of Generalized Variational‐Hemivariational Inequalities with Set‐Valued Mappings
Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 By using surjectivity theorem of pseudomonotone and coercive operators rather than the KKM theorem and fixed point theorem used in recent literatures, we obtain some conditions under which a system of generalized variational‐hemivariational inequalities concerning set‐valued mappings, which includes as special cases many problems of hemivariational ...
Zhi-bin Liu +4 more
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Existence Results for Constrained Quasivariational Inequalities
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We deal with a constrained quasivariational inequality under a general form. We study existence of solutions in two situations depending on whether the set of constraints is bounded or possibly unbounded.
V. V. Motreanu, Rodrigo Lopez Pouso
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Penalty method for a class of differential nonlinear system arising in contact mechanics
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 The main goal of this paper is to study a class of differential nonlinear system involving parabolic variational and history-dependent hemivariational inequalities in Banach spaces by using the penalty method.
Xu Chu +3 more
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