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Zbl 1110.49012
Xiao, Yi-Bin; Huang, Nan-Jing
Sub-supersolution method and extremal solutions for higher order quasi-linear elliptic hemi-variational inequalities. (English)
[J] Nonlinear Anal., Theory Methods Appl. 66, No. 8, A, 1739-1752 (2007). ISSN 0362-546X

Summary: We generalize the sub-supersolution method for a class of higher order quasi-linear elliptic hemi-variational inequalities. Using the notion of sub and supersolution, we prove the existence, comparison, compactness and extremality results for the higher order quasi-linear elliptic hemi-variational inequality under considerations.

MSC 2000:: *49J40 Variational methods including variational inequalities
47J20 Inequalities involving nonlinear operators
35J50 Systems of elliptic equations, variational methods

Keywords: subsolution; supersolution; extremal solution; hemi-variational inequality; $p$-Laplacian operator

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