SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY

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

作者机构：Department of Mathematics National Technical UniversityZografou CampusAthens 15780Greece Institute of Computer Science Jagiellonian Universityul.Nawojki 1130072 CracowPoland 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2006年第26卷第1期

页      面：59-73页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

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

主　　题：Strong resonance hemivariational inequality Laplacian principal eigenvalue locally Lipschitz function Clarke subdifferential nonsmooth criticalpoint theory 

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.