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二阶非自治(q,p)-Laplace方程组解的存在性 被引量：3

Existence of Solution of Second-order Nonautonomous Equations with(q,p)-Laplacian
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摘要 主要讨论了二阶非自治(q,p)-Laplace方程组解的存在性。借助一个新的条件,可以说明二阶非自治(q,p)-Laplace方程组相应的泛函满足PS条件,得到二阶非自治(q,p)-Laplace方程组解的一些存在性定理,最后借助鞍点定理给予证明。 The existence of solution of second-order nonautonomous equations with （q, p） - Laplacian is discussed. Under the new condition, it is well known that second-order nonautonomous equations with （q, p） -Laplacian corresponds to functional satisfies PS condition. Some existence theorems of unique solution of second-order nonautonomous equations with （q, p） -Laplacian are obtained by using the sad- dle point theorem.
作者 崔德标
机构地区 河海大学理学院
出处 《中山大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第3期45-47,54,共4页 Acta Scientiarum Naturalium Universitatis Sunyatseni
基金 国家自然科学基金资助项目(11171090) 教育部新世纪优秀人才支持计划资助项目(NCET-10-0325)
关键词 PS条件 鞍点定理 次凸的 惟一解 PS condition saddle point theorem second-convex unique solution
分类号 O177.91 [理学—基础数学]
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参考文献9

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同被引文献15

  • 1Tang Chunlei,Wu Xingping. Notes on periodic solutions ofsubquadratic second order systems [J]. J Math Anal Ap-pl,2003,285( 1) :8-16.
  • 2Bartolo P, Benci V, Fortunato D. Abstract critical pointtheorems and applications to some nonlinear problems withstrong resonance at infinity [ J]. Nonlinear Anal, 1983,7(9):981-1012.
  • 3Xu Bo,Tang Chunlei. Some existence results on periodicsolutions of ordinary p-Laplacian systems [ J]. J Math A-nal Appl,2007,333(2) : 1228-1236.
  • 4Zhang Qiongfen,Tang Xianhua. New existence of periodicsolutions for second order non-autonomous second-orderHamiltonian systems [ J]. J Math Anal Appl,2010,369(1):357-367.
  • 5Wang Zhiyong, Xiao Jianzhong. On periodic solutions ofsubquadratic second order non ^autonomous Hamiltoniansystems [ J]. Appl Math Lett,2015,40:72-77.
  • 6Jiang Qin,Tang Chunlei. Periodic and subharmonic solu-tions of a class of subquadratic second-order Hamiltoniansystems [ J]. J Math Anal Appl,2007,328( 1) :380-389.
  • 7Wang Zhiyong,Zhang Jihui. Periodic solutions of a class ofsecond order non-autonomous Hamiltonian systems [ J].Nonlinear Anal,2010,72( 12) :44804487.
  • 8Pasca D. Periodic solutions of a class of nonautonomoussecond order differential systems with (q, p) -Laplacian[J]. Bull Belg Math Soc Simon Stevin,2010,17(5) :841-851.
  • 9Pasca D,Tang Chunlei. Some existence results on periodicsolutions of nonautonomous second order differential sys-tems with (g,p)-Laplacian [J]. Appl Math Lett,2010,23(3);246-251.
  • 10Pasca D,Tang Chunlei. Some existence results on periodicsolutions of ordinary (qfp)-Laplacian systems [J]. J Ap-pl Math Inform,2011,29(1/2) :3948.

引证文献3

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中山大学学报（自然科学版）
2013年 第3期
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