Nonlinear Maximal Monotone Extensions of Symmetric Operators [PDF]
, 2015 Given a linear semi-bounded symmetric operator $S\ge -\omega$, we explicitly define, and provide their nonlinear resolvents, nonlinear maximal monotone operators $A_\Theta$ of type $\lambda>\omega$ (i.e.
Posilicano, Andrea
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On pseudomonotone elliptic operators with functional dependence on unbounded domains [PDF]
, 2016 We generalize F. E. Browder's results concerning pseudomonotone elliptic partial differential operators defined on unbounded domains. We show that under suitable assumptions, Browder's result holds true if the coefficient functions are functionals of ...
Csirik, Mihály
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Homogenization of Variational Inequalities for the p-Laplace Operator in Perforated Media Along Manifolds [PDF]
, 2017 We address homogenization problems of variational inequalities for the p-Laplace operator in a domain of Rn (n ? 3, p ? [2, n)) periodically perforated by balls of radius O(??) where ? > 1 and ? is the size of the period. The perforations are distributed
A Brillard +22 more
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Existence, comparison, and convergence results for a class of elliptic hemivariational inequalities
, 2021 In this paper we study a class of elliptic boundary hemivariational inequalities which originates in the steady-state heat conduction problem with nonmonotone multivalued subdifferential boundary condition on a portion of the boundary described by the ...
Gariboldi, Claudia M. +3 more
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Limit of p-Laplacian Obstacle problems
, 2020 In this paper we study asymptotic behavior of solutions of obstacle problems for $p-$Laplacians as $p\to \infty.$ For the one-dimensional case and for the radial case, we give an explicit expression of the limit.
Capitanelli, Raffaela +1 more
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First-Order Shape Derivative of the Energy for Elastic Plates with Rigid Inclusions and Interfacial Cracks [PDF]
, 2020 Gefördert im Rahmen des Projekts ...
Rudoy, Evgeny, Shcherbakov, Viktor
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Variational differential inclusions without ellipticity condition [PDF]
, 2020 The paper sets forth a new type of variational problem without any ellipticity or monotonicity condition. A prototype is a differential inclusion whose driving operator is the competing weighted $(p,q)$-Laplacian $-\Delta_p u+\mu\Delta_q u$ with $\mu\in
Liu, Zhenhai +3 more
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A new class of history-dependent quasi variational-hemivariational inequalities with constraints
, 2023 In this paper we consider an abstract class of time-dependent quasi variational-hemivariational inequalities which involves history-dependent operators and a set of unilateral constraints.
Bai, YR., Migorski, S., Zeng, SD.
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Dynamic history-dependent variational-hemivariational inequalities with applications to contact mechanics [PDF]
, 2016 In the paper we deliver a new existence and uniqueness result for a class of abstract nonlinear variational-hemivariational inequalities which are governed by two operators depending on the history of the solution, and include two nondifferentiable ...
Migórski, Stanisław +1 more
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Analysis of a quasi-variational contact problem arising in thermoelasticity [PDF]
, 2020 We formulate and study two mathematical models of a thermoforming process involving a membrane and a mould as implicit obstacle problems. In particular, the membrane-mould coupling is determined by the thermal displacement of the mould that depends in ...
Alphonse, Amal +2 more
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