摘要
本文利用山路引理在加权的索伯列夫空间讨论一类退化非线性椭圆方程Dirichlet问题的非平凡解的存在性;我们还利用Pohozeav恒等式证明在一定条件下该方程不存在非平凡解。
In this paper we discuss the existence of nontrivial solutions of the Dirichlet problem for a degenerate nonlinear elliptic equation in the weighted sobolev space by virtue of the Mountain Pass Lemma. We have also proved that the equation has no nontrivial solution in some conditions by means of a Pohozeav-type identity.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
1992年第3期98-103,共6页
Journal of South China University of Technology(Natural Science Edition)
关键词
椭圆型方程
非线性
DIRICHLET
elliptic equations
weighted
Sobolev space
non-linear/mountain pass lemma
Palais-Smale condition
relative compactness
