MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC EQUATION IN R-+(N) WITH NONLINEAR BOUNDARY CONDITION

Wu TF

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MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC EQUATION IN R-+(N) WITH NONLINEAR BOUNDARY CONDITION

机译：具有非线性边界条件的R-+（N）中半椭圆型方程的正解的多重性

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摘要

In this paper, we study a class of semilinear elliptic equations in R-+(N) with nonlinear boundary condition and sign-changing weight function. By means of the Lusternik-Schnirelman category, multiple positive solutions are obtained.

机译：在本文中，我们研究了一类具有非线性边界条件和符号改变权重函数的R-+（N）半椭圆椭圆方程。通过Lusternik-Schnirelman类别，可以获得多个正解。

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《Communications on pure and applied analysis》 |2010年第6期|共22页
作者
Wu TF;
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正文语种 eng
中图分类数学;
关键词
Multiple positive solutions; sign-changing weight; nonlinear boundary condition;

机译：多重正解;变号权重;非线性边界条件;

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专利

1. MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC EQUATION IN R-+(N) WITH NONLINEAR BOUNDARY CONDITION [J] . Wu TF Communications on pure and applied analysis . 2010,第6期

机译：具有非线性边界条件的R-+（N）中半椭圆型方程的正解的多重性
2. Positive solutions of some semilinear elliptic equations in R-+(n) with Neumann boundary conditions [J] . Wang WM, Hong L Nonlinear Analysis: An International Multidisciplinary Journal . 2007,第4期

机译：具有Neumann边界条件的R-+（n）中一些半线性椭圆方程的正解
3. Positive solutions with single and multi-peak for semilinear elliptic equations with nonlinear boundary condition in the half-space [J] . LI WANG, PEIHAO ZHAO Proceedings of the Indian Academy of Sciences. Mathematical sciences . 2018,第2期

机译：半空间中具有非线性边界条件的半线性椭圆型方程的单峰和多峰正解
4. BLOW-UP OF SOLUTIONS TO ELLIPTIC EQUATIONS WITH SEMILINEAR DYNAMICAL BOUNDARY CONDITIONS OF HYPERBOLIC TYPE [C] . Yuan Wu, rnUlf Nuernberger Annals of Differential Equations . 2007

机译：具有双曲型半线性动力学边界条件的椭圆型方程解的爆破。
5. Existence and multiplicity of solutions for semilinear elliptic boundary value problems. [D] . Gadam, Sudhasree. 1992

机译：半线性椭圆边值问题解的存在性和多重性。
6. Multiple Positive Solutions to Nonlinear Boundary Value Problems of a System for Fractional Differential Equations [O] . Chengbo Zhai, Mengru Hao -1

机译：分数阶微分方程组非线性边值问题的多个正解
7. Existence of Positive Solutions of a Semilinear Elliptic Equation in $\bold R^n_{+}$ with a Nonlinear Boundary Condition [O] . Chipot, M, Chlebík, M, Fila, M, 1998

机译：具有非线性边界条件的$ \ bold R ^ n _ {+} $中的半线性椭圆方程正解的存在性

MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC EQUATION IN R-+(N) WITH NONLINEAR BOUNDARY CONDITION

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