Results 31 to 40 of about 128 (114)

Analysis of Stokes system with solution-dependent subdifferential boundary conditions

Fixed Point Theory and Algorithms for Sciences and Engineering, 2021
We study the Stokes problem for the incompressible fluid with mixed nonlinear boundary conditions of subdifferential type. The latter involve a unilateral boundary condition, the Navier slip condition, a nonmonotone version of the nonlinear Navier–Fujita
Jing Zhao, Stanisław Migórski, Sylwia Dudek   +2 more
doaj   +1 more source

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., Papageorgiou, Nikolaos S.   +1 more
openaire   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

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, Tao Chen, Nan-jing Huang, Yi-bin Xiao   +3 more
doaj   +1 more source

A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids

Applied Mathematics & Optimization, 2022
AbstractIn this paper we investigate a new class of elliptic variational–hemivariational inequalities without the relaxed monotonicity condition of the generalized subgradient. The inequality describes the mathematical model of the steady state flow of incompressible fluid of Bingham type in a bounded domain.
Migórski, Stanisław, Dudek, Sylwia
openaire   +3 more sources

Three Solutions for Inequalities Dirichlet Problem Driven by p(x)‐Laplacian‐Like

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
A class of nonlinear elliptic problems driven by p(x)‐Laplacian‐like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three‐critical‐point theorem, existence of three solutions of the problem is proved.
Zhou Qing-Mei, Ge Bin, Rodrigo Lopez Pouso   +2 more
wiley   +1 more source

Existence of Solutions for Generalized Mixed Weak Vector Variational–Hemivariational Inequalities

Mathematics
In this paper, we consider the classes of generalized Stampacchia mixed weak vector variational–hemivariational inequalities (in short, GSMWVVHIs) and generalized Minty mixed weak vector variational–hemivariational inequalities (in short, GMMWVVHIs ...
Balendu Bhooshan Upadhyay, Shivani Sain, Ioan Stancu-Minasian   +2 more
doaj   +1 more source

Constrained Variational-Hemivariational Inequalities on Nonconvex Star-Shaped Sets

Mathematics, 2020
In this paper, we study a class of constrained variational-hemivariational inequality problems with nonconvex sets which are star-shaped with respect to a certain ball in a reflexive Banach space.
Stanisław Migórski, Long Fengzhen
doaj   +1 more source

Multiplicity results to a class of variational-hemivariational inequalities [PDF]

Topological Methods in Nonlinear Analysis, 2016
This paper deals with variational-hemivariational inequalities involving the $p$-Laplace operator and a nonlinear Neumann boundary condition. Based on an abstract critical point result, which is developed at the beginning of the paper, it is shown the existence of at least three solutions to such inequalities whereby the cases $p> N$ and $p \leq N$ are
BONANNO, Gabriele, P. Winkert
openaire   +3 more sources