Journal of South China University of Technology(Natural Science Edition) ›› 2003, Vol. 31 ›› Issue (9): 47-49.

• Mathematics • Previous Articles     Next Articles

Existence of Nontrivial Solution for a Semilinear Elliptic Equation

Yao Yang-xin 1 Wang Jian-xia 2    

  1. 1.Dept.of Applied Mathematics‚South China Univ.of Tech.‚Guangzhou510640‚China; 2.Dept.of Mathematics‚Guangzhou University‚Guangzhou510405‚China
  • Online:2003-09-20 Published:2022-05-20

Abstract: A semilinear elliptic equation with singular and subcritical exponent is studied.The existence of nontrivial solution for a semilinear elliptic equation is proved by virtue of the mountain pass lemma and Hardy inequality.

Key words: nontrivial solution, semilinear elliptic equation, Hardy inequality

CLC Number: