Results 41 to 50 of about 128 (114)
Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)‐Laplacian
The Scientific World Journal, Volume 2013, Issue 1, 2013., 2013 A class of nonlinear Neumann problems driven by p(x)‐Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, Weierstrass theorem and Mountain Pass theorem are used to prove the existence of at least two ...
Qing-Mei Zhou +4 more
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Minimax Results with Respect to Different Altitudes in the Situation of Linking
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Consider a continuous function on a metric space. In the presence of linking between a compact pair and a closed set, depending on the different behaviors of the function on the linking sets, we establish minimax results guaranteeing existence of Palais‐Smale sequences or providing gradient estimates. Our approach relies on deformation techniques.
V. V. Motreanu, Kanishka Perera
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Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja +3 more
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A Quasistatic Contact Problem for Viscoelastic Materials with Slip‐Dependent Friction and Time Delay
Mathematical Problems in Engineering, Volume 2012, Issue 1, 2012., 2012 A mathematical model which describes an explicit time‐dependent quasistatic frictional contact problem between a deformable body and a foundation is introduced and studied, in which the contact is bilateral, the friction is modeled with Tresca’s friction law with the friction bound depending on the total slip, and the behavior of the material is ...
Si-sheng Yao +2 more
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Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We consider autonomous evolution inclusions and hemivariational inequalities with nonsmooth dependence between determinative parameters of a problem. The dynamics of all weak solutions defined on the positive semiaxis of time is studied. We prove the existence of trajectory and global attractors and investigate their structure.
Pavlo O. Kasyanov +3 more
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Theory and Algorithms of Variational Inequality and Equilibrium Problems, and Their Applications
, 2014 Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Xie-ping Ding +4 more
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Journal of Inequalities and Applications, 2016 This paper is dedicated to the introduction a new class of equilibrium problems named generalized multivalued equilibrium-like problems which includes the classes of hemiequilibrium problems, equilibrium-like problems, equilibrium problems ...
Vahid Dadashi, Abdul Latif
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International Journal of Analysis and Applications, 2020 We consider a quasistatic problem which models the contact between a deformable body and an obstacle called foundation. The material is assumed to have a viscoelastic behavior that we model with a constitutive law with long-term memory, thus at each ...
A. Ourahmoun, B. Bouderah, T. Serrar
doaj
Discontinuous Variational-Hemivariational Inequalities Involving the p-Laplacian
Journal of Inequalities and Applications, 2007 We deal with discontinuous quasilinear elliptic variational-hemivariational inequalities. By using the method of sub- and supersolutions and based on the results of S. Carl, we extend the theory for discontinuous problems.
Patrick Winkert
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On the well-posedness of differential quasi-variational-hemivariational inequalities
Open Mathematics, 2020 The goal of this paper is to discuss the well-posedness and the generalized well-posedness of a new kind of differential quasi-variational-hemivariational inequality (DQHVI) in Hilbert spaces.
Cen Jinxia +3 more
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