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高校应用数学学报
高校应用数学学报  2016, Vol. 31 Issue (3): 294-306    
    
一类具有周期变指数和凹凸非线性项椭圆型方程解的多重性
祁红红, 贾高∗
上海理工大学 理学院, 上海 200093
Multiplicity of solutions for a class of quasilinear elliptic equations with periodic variable exponents and concave-convex nonlinearities
QI Hong-hong, JIA Gao
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
 全文: PDF 
摘要： 研究一类具有周期变指数和凹凸非线性项的椭圆边值问题, 借助Ekeland变分原理和Nehari流形等理论和方法得到解的多重性.
关键词： 周期变指数;  多重性;  Nehari流形    
Abstract: The boundary value problems of a class of quasilinear elliptic equations are considered, which possess periodic variable exponents and concave-convex nonlinearities in $\mathbf{R}^{N}$. Under some weaker assumptions, the multiplicity of solutions for the equations is obtained by applying the Ekeland's variational principle and the Nehari manifold theory.
Key words: periodic variable exponent    multiplicity    Nehari manifold
收稿日期: 2016-01-19 出版日期: 2018-05-16
CLC:  O175.25  
基金资助: 国家自然基金(11171220); 上海市一流学科(系统科学)项目(XTKX2012); 沪江基金(B14005)
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引用本文:

祁红红, 贾高. 一类具有周期变指数和凹凸非线性项椭圆型方程解的多重性[J]. 高校应用数学学报, 2016, 31(3): 294-306.

QI Hong-hong, JIA Gao. Multiplicity of solutions for a class of quasilinear elliptic equations with periodic variable exponents and concave-convex nonlinearities. Applied Mathematics A Journal of Chinese Universities, 2016, 31(3): 294-306.

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http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2016/V31/I3/294

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