Results 21 to 30 of about 1,507 (161)
Fixed 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
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Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics [PDF]
, 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
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Journal 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
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Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law [PDF]
, 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
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Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues [PDF]
, 2006 We consider a semilinear elliptic equation with a nonsmooth, locally \hbox{Lipschitz} potential function (hemivariational inequality). Our hypotheses permit double resonance at infinity and at zero (double-double resonance situation).
Gasi'nski, Leszek +2 more
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Advances in variational and hemivariational inequalities : theory, numerical analysis, and applications [PDF]
, 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
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Existence and comparison principles for general quasilinear variational–hemivariational inequalities [PDF]
, 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.
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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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A class of hyperbolic variational–hemivariational inequalities without damping terms
Advances 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
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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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