Results 81 to 90 of about 636,419 (206)

Elliptic variational hemivariational inequalities

Applied Mathematics Letters, 2003
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Existence results for nonlocal and nonsmooth hemivariational inequalities

Journal of Inequalities and Applications, 2006
We consider an elliptic hemivariational inequality with nonlocal nonlinearities. Assuming only certain growth conditions on the data, we are able to prove existence results for the problem under consideration.
Heikkilä S, Carl S
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Nonlocal elliptic hemivariational inequalities

Electronic Journal of Qualitative Theory of Differential Equations, 2017
Summary: This paper is devoted to the existence of solutions for the hemivariational inequalities involving fractional Laplace operator by means of the well-known surjectivity result for pseudomonotone mappings.
Liu, Zhenhai, Tan, Jinggang
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System of partial differential hemivariational inequalities involving nonlocal boundary conditions

Demonstratio Mathematica
Let FPT, MNC, HVI, SEPDE, SMHVI, PGCDD, and NLBC represent the fixed point theorem, measure of noncompactness, hemivariational inequality, system of nonlinear evolutionary partial differential equations, system of mixed hemivariational inequalities ...
Ceng Lu-Chuan, Chen Boling, Yao Jen-Chih
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Constant Sign and Nodal Solutions for Problems with the p-Laplacian and a Nonsmooth Potential Using Variational Techniques

Boundary Value Problems, 2009
We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition.
Ravi P. Agarwal, Michael E. Filippakis, Donal O'Regan, Nikolaos S. Papageorgiou   +3 more
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Convergence of Rothe scheme for hemivariational inequalities of parabolic type

, 2012
This article presents the convergence analysis of a sequence of piecewise constant and piecewise linear functions obtained by the Rothe method to the solution of the first order evolution partial differential inclusion $u'(t)+Au(t)+\iota^*\partial J ...
Kalita, Piotr
core  

Variational differential inclusions without ellipticity condition

Electronic Journal of Qualitative Theory of Differential Equations, 2020
The paper sets forth a new type of variational problem without any ellipticity or monotonicity condition. A prototype is a differential inclusion whose driving operator is the competing weighted $(p,q)$-Laplacian $-\Delta_p u+\mu\Delta_q u$ with $\mu\in
Zhenhai Liu, Roberto Livrea, Dumitru Motreanu, Shengda Zeng   +3 more
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Tykhonov well-posedness of elliptic variational-hemivariational inequalities

Electronic Journal of Differential Equations, 2019
We consider a class of elliptic variational-hemivariational inequalities in an abstract Banach space for which we introduce the concept of well-posedness in the sense of Tykhonov.
Mircea Sofonea, Yi-Bin Xiao
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Nontrivial Solutions for Resonant Hemivariational Inequalities

Journal of Global Optimization, 2006
This paper deals with resonant semilinear elliptic problems with a non-smooth potential (hemivariational inequalities) of the type: \(-\Delta x(z)-\lambda_k x(z)\in\partial j(z,x(z))\) for a.a. \(z\in Z\) \(x |_{\partial Z}=0\) where \(Z\) is a bounded smooth domain in \(\mathbb{R}^N\), and \(\lambda=2\) is an eigenvalue of \((-\Delta,H_0^1(Z ...
Denkowski, Zdzisław, Gasiński, Leszek, Papageorgiou, Nikolaos S.   +2 more
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Well-posedness characterizations for system of mixed hemivariational inequalities

Miskolc Mathematical Notes
In this paper, we concern with the concept of well-posedness and well-posedness in generalized sense for a system of mixed hemivariational inequality (SMHVI) with perturbations.
Kartikeswar Mahalik, Chandal Nahak
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