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2005 Existence of solutions for strongly nonlinear elliptic differential inclusions with unilateral constraints
D. Motreanu, V. V. Motreanu, N. S. Papageorgiou
Adv. Differential Equations 10(9): 961-982 (2005).

Abstract

We study a nonlinear elliptic differential inclusion involving monotone and nonmonotone terms. Our formulation incorporates variational-hemivariational inequalities. The problem is strongly nonlinear in the sense that on the nonmonotone multivalued term we do not impose any growth condition and instead we use a generalized sign condition. Our approach is based on methods and techniques from multivalued analysis and from the theory of nonlinear operators of monotone type.

Citation

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D. Motreanu. V. V. Motreanu. N. S. Papageorgiou. "Existence of solutions for strongly nonlinear elliptic differential inclusions with unilateral constraints." Adv. Differential Equations 10 (9) 961 - 982, 2005.

Information

Published: 2005
First available in Project Euclid: 18 December 2012

zbMATH: 1115.35052
MathSciNet: MR2161755

Subjects:
Primary: 35J85

Rights: Copyright © 2005 Khayyam Publishing, Inc.

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