数学杂志2013，Vol.33Issue(1)：6-14,9.
一类含凹凸非线性项拟线性椭圆方程的多重解
MULTIPLE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS INVOLVING CONCAVE-CONVEX NONLINEARITIES
摘要
Abstract
In this paper,we establish the existence of multiple solutions for an equation involving a quasilinear elliptic operator,where the nonlinearity f has a (p-1)-sublinear growth at infinity and nonlinearity g is superlinear at infinity.Using a three critical points theorem,we prove the existence of at least two distinct weak solutions to this problem,which extends the recent results established by Kristaly et al..关键词
拟线性椭圆方程/三临界点定理/多重解/凹凸非线性项Key words
quasilinear elliptic equation/ three critical points theorem/ multiple solutions/concave-convex nonlinearities分类
数理科学引用本文复制引用
吕登峰,肖建海,徐国进..一类含凹凸非线性项拟线性椭圆方程的多重解[J].数学杂志,2013,33(1):6-14,9.基金项目
Supported by the Youth Foundation of Hubei Engineering University (Z2012003). （Z2012003）
