Positive Solutions of a Class of Quasilinear Elliptic Equations in Two-dimensional Exterior Domains

Positive Solutions of a Class of Quasilinear Elliptic Equations in Two-dimensional Exterior Domains

导出

摘要 Sufficient conditions for the existence of positive solutions to a class of quasilinear elliptic equations in two-dimensional exterior domains are given. Sufficient conditions for the existence of positive solutions to a class of quasilinear elliptic equations in two-dimensional exterior domains are given.

作者 Zhao Yang YIN

机构地区 Department of Mathematics Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第3期819-826,共8页 数学学报（英文版）

基金 partially supported by the NNsF of China(No.10531040) the NSF of Guangdong Province the foundation of Zhongshan University Advanced Research Center

关键词 Positive solution Quasilinear elliptic equation Exterior domains Positive solution, Quasilinear elliptic equation, Exterior domains

分类号 O175.25 [理学—基础数学]

引文网络
相关文献

参考文献11

1Constantin, A., Villari, G.: Positive solutions of quasilinear elliptic equations in two-dimensional exterior domains. Nonlinear Analysis, 42, 243-250 (2000)
2Constantin, A.: Positive solutions of Schrodinger equations in two-dimensional exterior domains. Monatshefte Math., 123, 121-126 (1997)
3Swanson, C. A.: Bounded positive solutions of semilinear Schrodinger equations. SIAM J. Math. Anal.,13, 40-47 (1982)
4Noussair, E. S., Swanson, C. A.: Positive solutions of quasilinear elliptic equations in exterior domains. J.Math. Anal. Appl., 75, 121-133 (1980)
5Mustafa, O., Rogovchenko, Y.: Global existence of the solutions with prescribed asymptotic behavior for second-order nonlinear differential equations. Nonlinear Analysis, 51, 339-368 (2002)
6Conway, J. B.: A Course in Functional Analysis, Springer-Verlag, New York, 1990
7Constantin, A.: On the existence of positive solutions of second order differential equations. Ann. Mat.Pura Appl., 184(4), 131-138 (2005)
8Yin, Z.:Monotone positive solutions of nonlinear second order ordinary differential equations. Nonlinear Analysis, 53, 391-403 (2003)
9Zhao, Z.: Positive solutions of nonlinear second order ordinary differential equations. Proc. Amer. Math.Soc., 121, 465-469 (1994)
10Lipovan, O.: On the asmptotic behaviour of the solutions to a class of second order nonlinear differential equations. Glasgow Math. J., 45, 179-187 (2003)

1Li Junjie Bian BaojunDept.of Math.,Zhejiang Univ.,Hangzhou31 0 0 2 7.A NOTE ON REGULARITY FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS[J].Applied Mathematics(A Journal of Chinese Universities),2000,15(3):273-280.
2Qiaoyu TIAN,Shengzhi ZHANG,Yonglin XU,Jia MU.BMO Estimates for Quasilinear Elliptic Equations with BMO Coefficients[J].Journal of Mathematical Research with Applications,2016,36(6):673-681. 被引量：3
3Bing-yu Kou,Shuang-jie Peng.Quasilinear Elliptic Equations with Neumann Boundary and Singularity[J].Acta Mathematicae Applicatae Sinica,2009,25(4):631-646.
4汪全珍,陈祖墀.EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO CERTAIN QUASILINEAR ELLIPTIC EQUATIONS IN A BALL[J].Acta Mathematica Scientia,2006,26(1):125-133. 被引量：1
5Xiao Qishan Huang Jianhua.EXISTENCE OF POSITIVE SOLUTION FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATION[J].Annals of Differential Equations,2007,23(1):89-95.
6Zhang Guoqing,Liu Sanyang,Zhang Weiguo.EXISTENCE OF SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS WITH INDEFINITE WEIGHTS[J].Journal of Partial Differential Equations,2005,18(3):219-226.
7Jiongqi Wu (Dept. of Math.,Zhangzhou Normal University,Zhangzhou 363000,Fujian).NONRADIAL POSITIVE SOLUTIONS TO SINGULAR QUASILINEAR ELLIPTIC EQUATIONS IN THE PLANE[J].Annals of Differential Equations,2009,25(2):189-194.
8Jeong Ja Bae.GLOBAL EXISTENCE FOR THE NONHOMOGENEOUS QUASILINEAR WAVE EQUATION WITH A LOCALIZED WEAKLY NONLINEAR DISSIPATION IN EXTERIOR DOMAINS[J].Acta Mathematica Scientia,2009,29(5):1203-1215.
9曾宪忠,刘振海.EXISTENCE AND NONEXISTENCE OF GLOBAL POSITIVE SOLUTIONS FOR DEGENERATE PARABOLIC EQUATIONS IN EXTERIOR DOMAINS[J].Acta Mathematica Scientia,2010,30(3):713-725. 被引量：1
10Yong HUANGWuhan,Huai Yu JIAN,Ning SU.Spacelike Hypersurfaces of Prescribed Gauss-Kronecker Curvature in Exterior Domains[J].Acta Mathematica Sinica,English Series,2009,25(3):491-502. 被引量：1

Acta Mathematica Sinica,English Series

2006年第3期

浏览历史

内容加载中请稍等...

Positive Solutions of a Class of Quasilinear Elliptic Equations in Two-dimensional Exterior Domains

参考文献11

相关作者

相关机构

相关主题

浏览历史