一类含凹凸非线性项拟线性椭圆方程的多重解(英文)  

MULTIPLE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS INVOLVING CONCAVE-CONVEX NONLINEARITIES

作　　者：吕登峰[1] 肖建海[1] 徐国进[1] 

机构地区：[1]湖北工程学院数学与统计学院,湖北孝感432000

出　　处：《数学杂志》2013年第1期6-14,共9页Journal of Mathematics

基　　金：Supported by the Youth Foundation of Hubei Engineering University(Z2012003)

摘　　要：本文研究了一类拟线性椭圆方程,其中非线性项f在无穷远处(p 1)-次线性增长,非线性项g在无穷远处超线性增长.利用三临界点定理,获得了该类方程多重解的存在性,结果推广了Kristaly等人最近的相关结果.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 

分 类 号：O175.25[理学—数学]