SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY  

作　　者：Michael Filippakis Leszek Gasi■ski Nikolaos S.Papageorgiou 

机构地区：[1]Department of Mathematics National Technical University,Zografou Campus,Athens 15780,Greece [2]Institute of Computer Science Jagiellonian University,ul.Nawojki 11,30072 Cracow,Poland

出　　处：《Acta Mathematica Scientia》2006年第1期59-73,共15页数学物理学报（B辑英文版）

基　　金：Research is supported by a grant of the National Scholarship Foundation of Greece (I.K.Y.)

摘　　要：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.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.

关 键 词：Strong resonance hemivariational inequality LAPLACIAN principal eigenvalue locally Lipschitz function Clarke subdifferential nonsmooth criticalpoint theory 

分 类 号：O175.25[理学—数学]