THE COMPARISON OF GREEN FUNCTION FOR QUASI-LINEAR ELLIPTIC EQUATION 被引量：2

THE COMPARISON OF GREEN FUNCTION FOR QUASI-LINEAR ELLIPTIC EQUATION

在线阅读下载PDF

导出

摘要 A generalization of the usual Green function to a kind of nonlinear elliptic equation of divergence form is discussed. The regularity and comparison principle of Green function in the sense of distribution are shown. A generalization of the usual Green function to a kind of nonlinear elliptic equation of divergence form is discussed. The regularity and comparison principle of Green function in the sense of distribution are shown.

作者郑神州康秀英

机构地区 Department of Mathematics Beijing Jiaotong University Department of Physics Beijing Normal University

出处《Acta Mathematica Scientia》 SCIE CSCD 2005年第3期470-480,共11页 数学物理学报（B辑英文版）

基金 Supported by Beijing Jiaotong University Science Research Foundation (2004SM056)

关键词 Green function q-capacity BMO function Moser-Nash's iteration weak-L^p space Green function, q-capacity, BMO function, Moser-Nash's iteration, weak-L^p space

分类号 O175.25 [理学—基础数学]

引文网络
相关文献

参考文献13

1Grfiter M, Widman K. The Green function for uniformly elliptic equations. Manuscripta Math, 1982, 37:303-342.
2Chiarenza F, Frasca M. Morrey spaces and Hardy-Littlewood maximal function. Rend Mat Series, 1987,7(3-4): 273-279.
3Littman W, Stampacchia G, Weinberger H. Regular points for elliptic equations with discontinuous coefficients. Ann Scuola Normale Superiore di Pisa (Ⅲ) , 1963, 17:45-79.
4Bensoussan A, Frehse J. Regularity Results for Nonlinear Elliptic Systems and Applications. Applied Math Sci, 151. Springer-Verlag, 2002.
5Di Fazio G. Dirichlet problem characterization of regularity. Manuscripta Math, 1994, 64(1): 47-56.
6Di Fazio G. On Dirichlet problem in Morrey spaces. Differential and Integral Equations, 1993, 6(2):383-391.
7Di Fazio G. Poisson equations and Morrey spaces. Journal of Math Analysis and Appl, 1992, 163(1):157-167.
8Giaquinta M. Introduction to Regularity Theory for Nonlinear Elliptic Systems. Birkhauser Verlag, 1993.
9Adams D R, Herd A. The necessity of the Wiener test for some semilineax elliptic PDE. Ind Uni Math J,1992, 41:109-124.
10Kilpelainen T, Maly J. The Wiener test and potential estimates for quasilinear elliptic equations. Acta Math, 1994, 172:137-161.

同被引文献1

1翟小云,郑神州.一类非齐次退化椭圆方程组的C^(1,α)正则性[J].北方交通大学学报,2004,28(3):38-42. 被引量：2

引证文献2

1郑神州,赵书乐.低于临界增长p-调和型方程组的完全正则性[J].数学物理学报（A辑）,2008,28(3):480-488.
2卢寒芳,郑神州.散度型椭圆方程Hlder连续性的Green函数法[J].数学物理学报（A辑）,2009,29(5):1160-1166.

1Zhiyan Yang, Tao Jiang (School of Information, Beijing Wuzi University, Beijing 101149).SAME DISTRIBUTION OF LIMIT CYCLES TO PERTURBED CUBIC HAMILTONIAN SYSTEMS WITH DIFFERENT PERTURBATIONS[J].Annals of Differential Equations,2011,27(2):241-247.
2Shuang Jie,PENG Jing YANG.Multiple Positive Solutions for a Nonlinear Elliptic Equation Involving Hardy–Sobolev–Maz'ya Term[J].Acta Mathematica Sinica,English Series,2015,31(6):893-912.
3王友军,沈尧天.MULTIPLE AND SIGN-CHANGING SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATION WITH CRITICAL POTENTIAL AND CRITICAL PARAMETER[J].Acta Mathematica Scientia,2010,30(1):113-124. 被引量：2
4Li ShenghongDept.of Math.,Zhejiang Univ.,Hangzhou,31 0 0 2 7..APPLICATION OF THE G CLASS OF FUNCTIONS IN THE PARABOLIC CLASS[J].Applied Mathematics(A Journal of Chinese Universities),2000,15(3):297-301.
5尚德生,张同华.BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE[J].Acta Mathematica Scientia,2009,29(1):11-24. 被引量：1
6CHEN Lihua,YAO Jingsun,MO Jiaqi.Shock Solution for a Class of Nonlinear Elliptic Equation[J].Wuhan University Journal of Natural Sciences,2011,16(4):282-284. 被引量：2
7Choi Q-Heung,Jung Tacksun(Departmctzt of Mathematics, Inha University, Incheon 402-751, KoreaDepartment of Mathematics, Kunsan National University, Kunsan 573-701, Korea).MULTIPLICITY OF SOLUTIONS AND SOURCE TERMS IN A FOURTH ORDER NONLINEAR ELLIPTIC EQUATION[J].Acta Mathematica Scientia,1999,19(4):361-374. 被引量：3
8CHEN Yu sen (Fujian Normal University, Fuqing Branch, Fuqing 350300, China).THE SINGULAR PERTURBATION OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR ELLIPTIC EQUATION OF FOURTH ORDER[J].Systems Science and Mathematical Sciences,2000,13(1):92-96.
9HE Cheng,ZHANG WeItao (Institute of Systems Science, Academia Silica, Beijing 100080, China).BOUNDARY LAYER ESTIMATION OF NONLINEAR ELLIPTIC EQUATION[J].Systems Science and Mathematical Sciences,1995,8(1):4-11.
10LIU Zhong Yuan.Large number of bubble solutions for the equation ?u + K(y)u^((N+2)/(N- 2)± ε)= 0 on R^N[J].Science China Mathematics,2016,59(3):459-478.

Acta Mathematica Scientia

2005年第3期

浏览历史

内容加载中请稍等...

THE COMPARISON OF GREEN FUNCTION FOR QUASI-LINEAR ELLIPTIC EQUATION 被引量：2

参考文献13

同被引文献1

引证文献2

相关作者

相关机构

相关主题

浏览历史