AN EXISTENCE THEOREM OF SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS ON R^N
AN EXISTENCE THEOREM OF SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS ON R^N作者机构:Department of Mathematics Southwest Normal University Chongqing 400715 China
出 版 物:《Acta Mathematica Scientia》 (数学物理学报(B辑英文版))
年 卷 期:1999年第19卷第3期
页 面:289-292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:国家自然科学基金
主 题:semilinear elliptic equation periodicity coercivity superlinearity critical point
摘 要:An existent theorem is obtained for nonzero W-1,W-2(R-N) solutions of the following equations on R-N -Delta u + b(x)u = f(x,u), x is an element of R-N, where b is periodic for some variables and coercive for the others, f is superlinear.