四川师范大学学报（自然科学版）2013，Vol.36Issue(2)：233-235,3.DOI:10.3969/j.issn.1001-8395.2013.02.016
一类椭圆混合边值问题无穷多解的存在性
Existence Results of Infinitely Solutions to Elliptic Mixed Boundary Value Problem
摘要
Abstract
A new elliptic mixed boundary value problem is studied. The variable u of the boundary value problem must satisfy inner and boundary condition. Assume that the nonlinear term/(x, u) is superlinear with respect to it at infinity, sub - critical growth and odd, the existence results of infinitely weak solutions in a bounded domain with holes are proved by Symmetric Mountain Pass Theorem. Furthermore, trace theorem and Sobolev embedding theorem are discussed for the mixed boundary value problem. Some embedding inequalities are applied to the proof of the existence of weak solutions.关键词
临界点理论/椭圆方程/对称山路定理/超线性/嵌入定理Key words
critical point/ elliptic equation/ Symmetric Mountain Pass Theorem/ superlinear/ embedding theorem分类
数理科学引用本文复制引用
李国发,刘海鸿..一类椭圆混合边值问题无穷多解的存在性[J].四川师范大学学报（自然科学版）,2013,36(2):233-235,3.基金项目
国家自然科学基金天元基金(10926167)资助项目 （10926167）
