Multiplicity of nontrivial solutions of semilinear elliptic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:249

Article

Liu, SQ ; Tang, CL ; Wu, XP

关键词: semilinear elliptic equation;    Dirichlet boundary value problem;    nontrivial solution;    reduction method;    critical point;    (PS) condition;    Sobolev's embedding theorem;   

DOI  :  10.1006/jmaa.2000.6704

来源: Elsevier

【 摘 要 】

Two nontrivial solutions are obtained by the reduction method for the nonautonomous semilinear elliptic Dirichlet boundary value problem. Some well-known multiplicity results are generalized. (C) 2000 Academic Press.

【 授权许可】

Free