SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY
SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY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.