ON NONLINEAR ELLIPTIC HEMIVARIATIONAL
INEQUALITIES OF SECOND ORDER

摘要/Abstract

摘要：

Locally Lipschitz function;Clarke subdifferential; measurable selection;
pseudomonotone operator,;generalized;coercive operator; Rayleigh quotient
surject operator

Abstract:

In this paper, a nonlinear hemivariational inequality of second order with a
forcing term of subcritical growth is studied. Using techniques from multivalued analysis
and the theory of nonlinear operators of monotone type, an existence theorem for the
Dirichlet boundary value problem is proved.

Key words: Locally Lipschitz function;Clarke subdifferential, measurable selection;
pseudomonotone operator,;generalized;coercive operator, Rayleigh quotient
surject operator

中图分类号:

47J20

Leszek Gasi′nski;Nikolaos S. Papageorgiou. ON NONLINEAR ELLIPTIC HEMIVARIATIONAL
INEQUALITIES OF SECOND ORDER[J]. 数学物理学报(英文版), 2004, 24(3): 451-462.

Leszek Gasi′nski;Nikolaos S. Papageorgiou. ON NONLINEAR ELLIPTIC HEMIVARIATIONAL INEQUALITIES OF SECOND ORDER[J]. Acta mathematica scientia,Series B, 2004, 24(3): 451-462.

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