2004 The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities
S. Carl, Vy K. Le, D. Motreanu
Differential Integral Equations 17(1-2): 165-178 (2004). DOI: 10.57262/die/1356060478

Abstract

We generalize the sub-supersolution method known for weak solutions of single and multivalued equations to quasilinear elliptic hemivariational inequalities. To this end we first introduce our basic notion of sub- and supersolutions on the basis of which we then prove existence, comparison, compactness, and extremality results for the hemivariational inequalities under considerations.

Citation

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S. Carl. Vy K. Le. D. Motreanu. "The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities." Differential Integral Equations 17 (1-2) 165 - 178, 2004. https://doi.org/10.57262/die/1356060478

Information

Published: 2004
First available in Project Euclid: 21 December 2012

zbMATH: 1164.35301
MathSciNet: MR2035501
Digital Object Identifier: 10.57262/die/1356060478

Subjects:
Primary: 35J85
Secondary: 47J20 , 49J40

Rights: Copyright © 2004 Khayyam Publishing, Inc.

Vol.17 • No. 1-2 • 2004
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