Solutions for nonlinear variational inequalities with a nonsmooth potential.

Filippakis, Michael E.; Papageorgiou, Nikolaos S.

Displaying similar documents to “Solutions for nonlinear variational inequalities with a nonsmooth potential.”

Existence theorems for elliptic hemivariational inequalities involving the $p$ -Laplacian.

Kourogenis, Nikolaos C., Papageorgiou, Nikolaos S. (2002)

Abstract and Applied Analysis

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Unilateral boundary value problems with jump discontinuities.

Halidias, Nikolaos (2003)

International Journal of Mathematics and Mathematical Sciences

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Nonlinear elliptic differential equations with multivalued nonlinearities

Antonella Fiacca, Nikolaos M. Matzakos, Nikolaos S. Papageorgiou, Raffaella Servadei (2003)

Czechoslovak Mathematical Journal

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In this paper we study nonlinear elliptic boundary value problems with monotone and nonmonotone multivalued nonlinearities. First we consider the case of monotone nonlinearities. In the first result we assume that the multivalued nonlinearity is defined on all $ℝ$ . Assuming the existence of an upper and of a lower solution, we prove the existence of a solution between them. Also for a special version of the problem, we prove the existence of extremal solutions in the order interval formed...

Existence theorems for nonlinear elliptic problems.

Halidias, Nikolaos (2001)

Journal of Inequalities and Applications [electronic only]

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Elliptic problems with nonmonotone discontinuities at resonance.

Nikolaos, Halidias (2002)

Abstract and Applied Analysis

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On a class of variational-hemivariational inequalities.

Halidias, Nikolaos (2002)

Revista Colombiana de Matemáticas

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On Neumann hemivariational inequalities.

Nikolaos, Halidias (2002)

Abstract and Applied Analysis

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An iterative algorithm for generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces.

Siddiqi, A.H., Ahmad, Rais (2004)

International Journal of Mathematics and Mathematical Sciences

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On the existence and convergence of approximate solutions for equilibrium problems in Banach spaces.

Huang, Nan-Jing, Lan, Heng-You, Teo, Kok Lay (2007)

Journal of Inequalities and Applications [electronic only]

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Fuzzy $n$ -normed linear space.

Narayanan, Al., Vijayabalaji, S. (2005)

International Journal of Mathematics and Mathematical Sciences

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Nonlinear boundary value problems for second order differential inclusions

Sophia Th. Kyritsi, Nikolaos M. Matzakos, Nikolaos S. Papageorgiou (2005)

Czechoslovak Mathematical Journal

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In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form $x \mapsto a {(x, x^{'})}^{'}$ . In this problem the maximal monotone term is required to be defined everywhere in the state space $ℝ^{N}$ . The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form $x \mapsto {(a (x) x^{'})}^{'}$ . In this...