JournalszaaVol. 20, No. 4pp. 845–857

Existence and Regularity Results for Non-Negative Solutions of some Semilinear Elliptic Variational Inequalities via Mountain Pass Techniques

  • Mario Girardi

    Università degli studi Roma Tre, Italy
  • Loretta Mastroeni

    Università degli Studi di Roma Tre, Italy
  • Michele Matzeu

    Università di Roma Tor Vergata, Italy
Existence and Regularity Results for Non-Negative Solutions of some Semilinear Elliptic Variational Inequalities via Mountain Pass Techniques cover
Download PDF

Abstract

The main result stated in the present paper is the existence of a non-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.

Cite this article

Mario Girardi, Loretta Mastroeni, Michele Matzeu, Existence and Regularity Results for Non-Negative Solutions of some Semilinear Elliptic Variational Inequalities via Mountain Pass Techniques. Z. Anal. Anwend. 20 (2001), no. 4, pp. 845–857

DOI 10.4171/ZAA/1048