摘要
本文讨论了零边值半线性椭圆方程的多重正解,其中使用没有(PS)条件的山路引理及对最佳Sobolev嵌入常数的分析,证明了至少两个解的存在性.
This Paper is devoted to the study of multiple positive solutions of semiliner eiliptic equation:with Dirichlet boundary value condition, for Via analysis the best Sobolev embedding constant and the Mountain Pass Theorem without (P. S.)condition, we obtain that it bas at least two solutions.
出处
《数学研究》
CSCD
1996年第4期21-28,共8页
Journal of Mathematical Study