Differential and Integral Equations

The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities

S. Carl, Vy K. Le, and D. Motreanu

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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.

Article information

Source
Differential Integral Equations, Volume 17, Number 1-2 (2004), 165-178.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060478

Mathematical Reviews number (MathSciNet)
MR2035501

Zentralblatt MATH identifier
1164.35301

Subjects
Primary: 35J85
Secondary: 47J20: Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40] 49J40: Variational methods including variational inequalities [See also 47J20]

Citation

Carl, S.; Le, Vy K.; Motreanu, D. The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities. Differential Integral Equations 17 (2004), no. 1-2, 165--178. https://projecteuclid.org/euclid.die/1356060478


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