The main result stated in the present paper is the existence of a lion-negative solution for a semilinear variational inequality through the use of some estimates for the Mountain-Pass critical points obtained for the penalized equations associated with the variational inequality. The positivity of the solution is achieved through a regularity result and the strong maximum principle.
Girardi, M., Mastroeni, L., Matzeu, M. (2001). Existence and regularity results for non-negative solutions of some semilinear elliptic variational inequalities via mountain pass techniques. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 20(4), 845-857.
Existence and regularity results for non-negative solutions of some semilinear elliptic variational inequalities via mountain pass techniques
MATZEU, MICHELE
2001-01-01
Abstract
The main result stated in the present paper is the existence of a lion-negative solution for a semilinear variational inequality through the use of some estimates for the Mountain-Pass critical points obtained for the penalized equations associated with the variational inequality. The positivity of the solution is achieved through a regularity result and the strong maximum principle.File in questo prodotto:
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