Results 31 to 40 of about 370,441 (158)

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

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

open access: yes, 2005
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 ...
Vy K. Le   +5 more
core   +1 more source

Existence, comparison, and compactness results for quasilinear variational-hemivariational inequalities [PDF]

open access: yes, 2004
We consider quasilinear elliptic variational-hemivariational inequalities involving the in-dicator function of some closed convex set and a locally Lipschitz functional.
Vy K. Le   +7 more
core   +1 more source

On a class of hemivariational inequalities at resonance

open access: yesJournal of Mathematical Analysis and Applications, 2004
The paper studies a Dirichlet boundary value problem involving the \(p\)-Laplacian \(\Delta_p\) and a locally Lipschitz potential which is resonant at the first eigenvalue of \(-\Delta_p\). This type of problems is called resonant hemivariational inequalities.
Halidias, N., Naniewicz, Z.
openaire   +1 more source

On nonlinear hemivariational inequalities [PDF]

open access: yesDissertationes Mathematicae, 2003
The authors present a detailed study of strongly nonlinear hemivariational inequalities of second order with Dirichlet, nonhomogeneous and Neumann boundary condition. To obtain existence results a variety of tools is employed: general theory of nonlinear operators of monotone type, the method of upper-lower solutions, the multivalued Leray-Schauder ...
Papageorgiou, Nikolaos, Smyrlis, George
openaire   +2 more sources

Gap functions and error bounds for variational-hemivariational inequalities [PDF]

open access: yes, 2020
In this paper we investigate the gap functions and regularized gap functions for a class of variational–hemivariational inequalities of elliptic type.
Tam, Vo Minh   +3 more
core   +1 more source

A multiplicity result for hemivariational inequalities

open access: yes, 2007
In this paper we extend a multiplicity result of Ricceri to locally Lipschitz functionals and prove the existence of multiple solutions for a class of hemivariational ...
Francesca Faraci   +7 more
core   +2 more sources

Hilfer fractional neutral stochastic Sobolev-type evolution hemivariational inequality: Existence and controllability☆

open access: yesAin Shams Engineering Journal, 2023
This paper discusses the approximate controllability of hemivariational inequalities of the Sobolev-type Hilfer fractional neutral stochastic evolution system.
Yong-Ki Ma   +5 more
doaj   +1 more source

Existence of long‐time solutions to dynamic problems of viscoelasticity with rate‐and‐state friction

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 99, Issue 11, November 2019., 2019
Abstract We establish existence of global solutions to a dynamic problem of bilateral contact between a rigid surface and a viscoelastic body, subject to rate‐and‐state friction. The term rate‐and‐state friction describes friction laws where the friction is rate‐dependent and depends on an additional internal state variable defined on the contact ...
Elias Pipping
wiley   +1 more source

Fractional Stochastic Differential Equations with Hilfer Fractional Derivative: Poisson Jumps and Optimal Control

open access: yesDiscrete Dynamics in Nature and Society, Volume 2017, Issue 1, 2017., 2017
In this work, we consider a class of fractional stochastic differential system with Hilfer fractional derivative and Poisson jumps in Hilbert space. We study the existence and uniqueness of mild solutions of such a class of fractional stochastic system, using successive approximation theory, stochastic analysis techniques, and fractional calculus ...
Fathalla A. Rihan   +3 more
wiley   +1 more source

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