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一个具有非自治性扰动的拟线性椭圆方程非平凡解的存在性(英文) 被引量：1

Existence of a Nontrivial Solution to a Quasilinear Elliptic Equation with a Non-Autonomous Perturbation
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摘要 利用变量替换和Ekeland变分原理,在RN上获得了一类具有非自治扰动的拟线性椭圆方程非平凡解的存在性结果. The existence of a nontrivial solution is obtained for a quasilinear elliptic equations on R^N with a non autonomous perturbation by the change of variable and the Ekeland＇s variational principle.
作者 赵庆收 唐春雷
机构地区 西南大学数学与统计学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第6期135-142,共8页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(10771173)
关键词 非自治扰动 非平凡解 EKELAND变分原理 椭圆方程 non-autonomous perturbation nontrivial solution Ekeland＇s variational principle elliptic equation
分类号 O176.3 [理学—基础数学]
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参考文献13

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二级参考文献8

  • 1欧增奇,唐春雷.一类非自治超二次二阶Hamilton系统的周期解[J].西南师范大学学报（自然科学版）,2005,30(2):226-229. 被引量：5
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  • 6Liu Shuiqiang,Tang Chunlei.Existence and Multiplicity of Solutions for a Class 0f Semilinear Elliptic Equations[J].J Math Anal Appl,2001,257:321-331.
  • 7Tang Chunlei,Wu Xingping.Periodic Solutions for Second Order Systems with Not Uniformly Coercive Potential[J].J,Math Anal Appl,2001,259:386-397.
  • 8Zhi-hui Chen, Yao-tian ShenDepartment of Applied Mathematics, South China University of Technology, Guangzhou 510640, China.On the Existence of Nontrivial Solutions of Quasi-asymptotically Linear Problem for the P-Laplacian[J].Acta Mathematicae Applicatae Sinica,2002,18(4):599-606. 被引量：3

共引文献29

同被引文献6

  • 1宋树枝,唐春雷.拟线性椭圆方程共振问题解的存在定理[J].西南师范大学学报（自然科学版）,2005,30(1):1-6. 被引量：9
  • 2FANG Fei,LIU Shi-bo. Nontrivial Solutions of Superlinear p-Laplacian Equations[J].Journal of Mathematical Analysis and Applications,2009,(01):138-146.
  • 3LIU Shi-bo. On Superlinear Problems without the Ambrosetti and Rabinowitz Condition[J].Nonlinear Analysis,2010,(03):788-795.
  • 4Bonanno G,Sciammetta A. An Existence Result of One Non-trivial Solution for Two Point Boundary Value Problems[J].Bulletin of the Australian Mathematical Society,2011.288-299.
  • 5Bonanno G. A Critical Point Theorem Via the Ekeland Variational Principle[J].Nonlinear Analysis-Theory Methods and Applications,2012,(05):2992-3007.
  • 6李相锋,许万银.一类拟线性Neumann特征值问题的多重解[J].西南大学学报（自然科学版）,2009,31(1):1-4. 被引量：3

引证文献1

西南大学学报（自然科学版）
2010年 第6期

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