Results 41 to 50 of about 647,140 (200)
On a class of hemivariational inequalities at resonance
Journal 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.
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Existence of long‐time solutions to dynamic problems of viscoelasticity with rate‐and‐state friction
ZAMM - 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
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On nonlinear hemivariational inequalities [PDF]
Dissertationes 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
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Discrete 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
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Optimal control of an evolution hemivariational inequality involving history-dependent operators
Communications in nonlinear science & numerical simulation, 2021 In this paper we consider a class of feedback control systems described by an evolution hemivariational inequality involving history-dependent operators.
Zhao Jing +4 more
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Superlinear elliptic hemivariational inequalities
Hacettepe Journal of Mathematics and Statistics, 2023 We study a nonlinear nonhomogeneous Dirichlet problem with a nonsmooth potential which is superlinear but without satisfying the Ambrosetti-Rabinowitz condition. Using the nonsmooth critical point theory and critical groups we prove two multiplicity theorems producing three and five solutions respectively. In the second multiplicity theorem, we provide
BAİ, Yunru +2 more
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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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Noncoercive hemivariational inequality and its applications in nonconvex unilateral mechanics [PDF]
, 1996 summary:This paper is devoted to the study of a class of hemivariational inequalities which was introduced by P. D. Panagiotopoulos [31] and later by Z. Naniewicz [22].
Goeleven, Daniel
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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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Convergence Results for Elliptic Variational-Hemivariational Inequalities
Advances in Nonlinear Analysis, 2020 We consider an elliptic variational-hemivariational inequality 𝓟 in a reflexive Banach space, governed by a set of constraints K, a nonlinear operator A, and an element f.
Cai Dong-ling +2 more
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