Asymptotic Behavior of Nodal Solutions for Semilinear Elliptic Equationsin R^n

Asymptotic Behavior of Nodal Solutions for Semilinear Elliptic Equations in R^n

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摘要 In this paper,we have investigated the asymptotic behavior of nodal solutions of semilinear elliptic equations in R n. We conclude more precise and extensive results and give the expression of asymptotic behavior near ∞ more detail than that of [3]-[5].

作者綦建刚刘衍胜

机构地区 Department of

出处《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第1期22-28, ,共7页 数学季刊（英文版）

关键词 positive radial solution nodal solution asymptotic behavior semilinear elliptic equation 半线性椭圆型方程 NoDAl解渐近性

分类号 O175.25 [理学—基础数学]

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1Ding W Y，J Duke Math，1995年，52卷，2期，485页
2Lin S S，J D E，1994年，114卷，57页
3Ni W M，Pure Appl Math，1986年，36卷，379页
4Ni W M，Indiana Univ Math，1982年，31卷，493页

1袁俭.On the Uniqueness of the Positive Solution for a Semilinear Elliptic Problem with Critical Exponent[J].Chinese Quarterly Journal of Mathematics,1997,12(1):76-80.
2Yi-bin ZHANG,Hai-tao YANG.Multi-peak Nodal Solutions for a Two-dimensional Elliptic Problem with Large Exponent in Weighted Nonlinearity[J].Acta Mathematicae Applicatae Sinica,2015,31(1):261-276.
3刘冠琦,王玉文,史峻平.Existence and nonexistence of positive solutions of semilinear elliptic equation with inhomogeneous strong Allee effect[J].Applied Mathematics and Mechanics(English Edition),2009,30(11):1461-1468.
4Qihong Chen Institute of Mathematics,Fudan University,Shanghai 200433,P.R.China Shanghai Normal University,Shanghai 200023,P.R.China.Optimal Control of Semilinear Elliptic Variational Bilateral Problem[J].Acta Mathematica Sinica,English Series,2000,16(1):123-140.
5Ru Yun MA,Bevan THOMPSON.Nodal Solutions for a Nonlinear Fourth-Order Eigenvalue Problem[J].Acta Mathematica Sinica,English Series,2008,24(1):27-34. 被引量：2
6郭千桥,胡云云.次临界分数阶Laplace方程具有两个bubbles的变号解存在性[J].数学学报（中文版）,2016,59(5):659-676.
7李树杰,张志涛.Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity[J].Science China Mathematics,2001,44(7):856-866.
8汪更生.NECESSARY CONDITIONS FOR OPTIMAL CONTROLS OF SEMILINEAR ELLIPTIC VARIATIONAL INEQUALITIES INVOLVING STATE CONSTRAINT[J].Acta Mathematica Scientia,2005,25(1):7-22.
9徐志庭,邢鸿雁.Kamenev-type Oscillation Criteria for Semilinear Elliptic Differential Equations[J].Northeastern Mathematical Journal,2004,20(2):153-160. 被引量：2
10Su Jiabao Institute of Mathematics, Academia Sinica, Beijing 100080, China Department of Mathematics. Capital Normal University, Beijing 100037, China.Semilinear Elliptic Resonant Problems at Higher Eigenvalue with Unbounded Nonlinear Terms[J].Acta Mathematica Sinica,English Series,1998,14(3):411-418.

Chinese Quarterly Journal of Mathematics

1998年第1期

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Asymptotic Behavior of Nodal Solutions for Semilinear Elliptic Equationsin R^n

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