摘要
讨论了半线性椭圆方程-Δu+a(x)u=g(x,u)解的多重性。其中非线性项g的原函数是渐近二次增长的,a可以符号变换。通过使用临界点定理,选取了一些新的条件来保证上述问题解的存在多重性,改善了以前的研究结果。
The multiplicity solutions for the semilinear elliptic equations-Δu+a(x)u=g(x,u)were discussed.The primitive of the nonlinearity g is of asymptotically quadratic growth and the potential a is allowed to be sign-changing.Some new conditions are established by using critical point theory to guarantee multiple solutions of the above problem,which improve research results at present.
作者
杨洁勤
陈会文
刘冬元
肖可
YANG Jieqin;CHEN Huiwen;LIU Dongyuan;XIAO Ke(School of Mathematics and Physics,University of South China,Hengyang,Huan 421001,China)
出处
《南华大学学报（自然科学版）》
2019年第6期41-45,共5页
Journal of University of South China：Science and Technology
基金
湖南省教育厅基金资助项目(15C1171)
关键词
半线性椭圆方程
渐近线性
临界点理论
semilinear elliptic equations
asymptotically linear
critical point theory
