Results 41 to 50 of about 158 (136)
Three Solutions for Inequalities Dirichlet Problem Driven by p(x)‐Laplacian‐Like
A class of nonlinear elliptic problems driven by p(x)‐Laplacian‐like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three‐critical‐point theorem, existence of three solutions of the problem is proved.
Zhou Qing-Mei +2 more
wiley +1 more source
Optimal Control of Parabolic Hemivariational Inequalities
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Migórski, Stanisław, Ochal, Anna
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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
wiley +1 more source
Numerical Analysis of Elliptic Hemivariational Inequalities
This paper is devoted to a study of the numerical solution of elliptic hemivariational inequalities with or without convex constraints by the finite element method. For a general family of elliptic hemivariational inequalities that facilitates error analysis for numerical solutions, the solution existence and uniqueness are proved.
Han, Weimin +2 more
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The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja +4 more
wiley +1 more source
Minimax Results with Respect to Different Altitudes in the Situation of Linking
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
wiley +1 more source
Elliptic variational hemivariational inequalities
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On the optimal control of variational–hemivariational inequalities
The present paper represents a continuation of our previous one. There, a continuous dependence result for the solution of an elliptic variational-hemivariational inequality was obtained and then used to prove the existence of optimal pairs for two associated optimal control problems.
Xiao, Yi-Bin, Sofonea, Mircea
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A Quasistatic Contact Problem for Viscoelastic Materials with Slip‐Dependent Friction and Time Delay
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
wiley +1 more source
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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