Results 21 to 30 of about 1,419 (140)

Nonlinear Hemivariational Inequalities at Resonance [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 1999
In this paper we consider nonlinear hemivariational inequalities involving the p-Laplacian at resonance. We prove the existence of a nontrivial solution. Our approach is variational based on the critical point theory for nonsmooth, locally Lipschitz functionals due to Chang.
Gasiński, Leszek   +1 more
openaire   +2 more sources

Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics [PDF]

open access: yes, 2019
In this paper an abstract evolutionary hemivariational inequality with a history-dependent operator is studied. First, a result on its unique solvability and solution regularity is proved by applying the Rothe method.
Migorski, Stanislaw, Zeng, Shengda
core   +2 more sources

Weak Solutions and Optimal Control of Hemivariational Evolutionary Navier‐Stokes Equations under Rauch Condition

open access: yesJournal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In this paper, we consider the evolutionary Navier‐Stokes equations subject to the nonslip boundary condition together with a Clarke subdifferential relation between the dynamic pressure and the normal component of the velocity. Under the Rauch condition, we use the Galerkin approximation method and a weak precompactness criterion to ensure the ...
Hicham Mahdioui   +3 more
wiley   +1 more source

From the Fan-KKM principle to extended real-valued equilibria and to variational-hemivariational inequalities with application to nonmonotone contact problems

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering, 2022
This paper starts off by the celebrated Knaster–Kuratowski–Mazurkiewicz principle in the formulation by Ky Fan. We provide a novel variant of this principle and build an existence theory for extended real-valued equilibrium problems with general, then ...
Joachim Gwinner
doaj   +1 more source

Existence and comparison principles for general quasilinear variational–hemivariational inequalities [PDF]

open access: yes, 2004
We consider quasilinear elliptic variational–hemivariational inequalities involving convex, lower semicontinuous and locally Lipschitz functionals. We provide a generalization of the fundamental notion of sub- and supersolutions on the basis of which we ...
Carl, S., Le, Vy K., Motreanu, D.
core   +1 more source

Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law [PDF]

open access: yes, 2018
The paper deals with the non-stationary Oseen system of equations for the generalized Newtonian incompressible fluid with multivalued and nonmonotone frictional slip boundary conditions.
Dudek, Sylwia, Migórski, Stanisław
core   +1 more source

Advances in variational and hemivariational inequalities : theory, numerical analysis, and applications [PDF]

open access: yes, 2015
Highlighting recent advances in variational and hemivariational inequalities with an emphasis on theory, numerical analysis and applications, this volume serves as an indispensable resource to graduate students and researchers interested in the latest ...
Han, Weimin   +2 more
core   +2 more sources

Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations

open access: yesJournal of Applied Mathematics, 2012
The concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations which includes as a special case the class of ...
Lu-Chuan Ceng   +2 more
doaj   +1 more source

A class of hyperbolic variational–hemivariational inequalities without damping terms

open access: yesAdvances in Nonlinear Analysis, 2022
In this article, we study a large class of evolutionary variational–hemivariational inequalities of hyperbolic type without damping terms, in which the functional framework is considered in an evolution triple of spaces.
Zeng Shengda   +2 more
doaj   +1 more source

Quasilinear elliptic inclusions of hemivariational type: Extremality and compactness of the solution set [PDF]

open access: yes, 2003
We consider the Dirichlet boundary value problem for an elliptic inclusion governed by a quasilinear elliptic operator of Leray–Lions type and a multivalued term which is given by the difference of Clarke's generalized gradient of some locally Lipschitz ...
S. Carl   +13 more
core   +1 more source

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