Multiplicity of solutions for quasilinear elliptic problems involving $\Phi$-Laplacian operator and critical growth

Electronic Journal of Qualitative Theory of Differential Equations

卷:2019

Xuewei Li¹  Gao Jia² 

[1] College of Science, University of Shanghai for Science and Technology, Shanghai, P.R. China;

[2] University of Shanghai for Science and Technology, Shanghai, P.R. China;

关键词: quasilinear elliptic equation;    critical exponent;    variational method;   

DOI  :  10.14232/ejqtde.2019.1.6

来源: DOAJ

【 摘 要 】

In this paper, we study a class of quasilinear elliptic equations with $\Phi$-Laplacian operator and critical growth. Using the symmetric mountain pass theorem and the concentration-compactness principle, we demonstrate that there exists $\lambda_i>0$ such that our problem admits $i$ pairs of nontrivial weak solutions provided $\lambda\in (0, \lambda_i)$.

【 授权许可】

Unknown