Geodesic
Existence and comparison results for quasilinear evolution hemivariational inequalities
Electronic journal of differential equations, Tome 2004 (2004)
We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution 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.
Classification : 35A15, 35K85, 49J40
Keywords: evolution hemivariational inequality, quasilinear, subsolution, supersolution, extremal solution, existence, comparison, compactness 
@article{EJDE_2004__2004__a186,
     author = {Carl,  Siegfried and Le,  Vy K. and Motreanu,  Dumitru},
     title = {Existence and comparison results for quasilinear evolution hemivariational inequalities},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1053.49005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a186/}
}
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%A Motreanu,  Dumitru
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Carl,  Siegfried; Le,  Vy K.; Motreanu,  Dumitru. Existence and comparison results for quasilinear evolution hemivariational inequalities. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a186/