Articles

SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY

  • Michael Filippakis ,
  • Leszek Gasinski ,
  • Nikolaos S. Papageorgiou
Expand
  • Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece

Received date: 2003-07-01

  Revised date: 2004-03-17

  Online published: 2006-01-20

Abstract

A semilinear elliptic equation with strong resonance at infinity and with a
nonsmooth potential is studied. Using nonsmooth critical point theory and developing some abstract minimax principles which complement and extend results in the literature, two results on existence are obtained.

Cite this article

Michael Filippakis , Leszek Gasinski , Nikolaos S. Papageorgiou . SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY[J]. Acta mathematica scientia, Series B, 2006 , 26(1) : 59 -73 . DOI: 10.1016/S0252-9602(06)60027-1

Outlines

/