Results 31 to 40 of about 170 (136)
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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Journal 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
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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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Ain 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
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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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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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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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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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Well-Posedness by Perturbations for Variational-Hemivariational Inequalities
Journal of Applied Mathematics, 2012 We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational ...
Shu Lv +3 more
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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
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