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高校应用数学学报
Applied Mathematics A Journal of Chinese Universities  2014, Vol. 29 Issue (4): 453-461    DOI:
    
Multiplicity of solutions for quasilinear elliptic equations in $\mathbf{R}^{N}$
JIA Gao, CHEN Jie, GUO Lu-qian
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
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Abstract  In this paper, a class of quasilinear elliptic equations is considered in $\mathbf{R}^{N}$. By virtue of critical point theory for nonsmooth functionals, the multiple weak solutions of the equations are obtained.

Key words： quasilinear elliptic equation      critical point theory for nonsmooth functional      variational method     
Received: 16 February 2014      Published: 08 June 2018
CLC:  O175.25  
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JIA Gao
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Cite this article:

JIA Gao, CHEN Jie, GUO Lu-qian. Multiplicity of solutions for quasilinear elliptic equations in $\mathbf{R}^{N}$. Applied Mathematics A Journal of Chinese Universities, 2014, 29(4): 453-461.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2014/V29/I4/453


$\mathbf{R}^{N}$上一类拟线性椭圆型方程弱解的多重性

在$\mathbf{R}^{N}$上研究一类拟线性椭圆型方程, 借助不光滑泛函的临界点理论和山路引理, 得到该问题具有无穷多个弱解.

关键词： 拟线性椭圆型方程,  不光滑临界点理论,  变分法 
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