ASYMPTOTIC BEHAVIOR NEAR THE BOUNDARY OF A LARGE SOLUTION TO SEMILINEAR POISSON EQUATION WITH DOUBLE-POWER NONLINEARITY

被引：0

作者：

Kazuhiro TAKIMOTO

Yuxiao ZHANG

机构：

[1] DepartmentofMathematics,GraduateSchoolofAdvancedScienceandTechnology,HiroshimaUniversity

来源：

Acta Mathematica Scientia | 2024年 / 44卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

We deal with a large solution to the semilinear Poisson equation with doublepower nonlinearity Δu=up+αuq in a bounded smooth domain D ■ R~n,where p> 1,-1 <q <p and α ∈ R.We obtain the asymptotic behavior of a solution u near the boundary ?D up to the third or higher term.

引用

页码：2083 / 2098

页数：16

共 50 条

[31] On the asymptotic behavior of a solution to an equation with a small parameter in a neighborhood of a boundary inflection point
E. F. Lelikova
Doklady Mathematics, 2012, 86 : 756 - 759
[32] Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems
Ben Othman, Sonia
Maagli, Habib
Masmoudi, Syrine
Zribi, Malek
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 4137 - 4150
[33] Asymptotic Behavior of the Solution of an Elliptic Pseudo-Differential Equation Near a Cone
Vasilyev, V. B.
INTEGRAL METHODS IN SCIENCE AND ENGINEERING, VOL 1: ANALYTIC METHODS, 2010, : 301 - 305
[34] ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR THE NEUTRON TRANSPORT EQUATION IN A SLAB WITH GENERALIZED REFLECTING BOUNDARY CONDITIONS
徐建国
王绵森
朱广田
SystemsScienceandMathematicalSciences, 1989, (01) : 14 - 21
[35] Asymptotic behavior of the solution of a small-parameter equation in a domain with a conical point on the boundary
E. F. Lelikova
Doklady Mathematics, 2012, 85 : 33 - 39
[36] Asymptotic behavior of the solution of a small-parameter equation in a domain with a conical point on the boundary
Lelikova, E. F.
DOKLADY MATHEMATICS, 2012, 85 (01) : 33 - 39
[37] Optimal global and boundary asymptotic behavior of large solutions to the Monge-Ampere equation
Zhang, Zhijun
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (12)
[38] Asymptotic behavior of a solution to the Poisson-Boltzmann equation in a three-dimensional domain with a thin bridge
S. A. Nazarov
Siberian Mathematical Journal, 1998, 39 : 81 - 98
[39] Asymptotic behavior of a solution to the Poisson-Boltzmann equation in a three-dimensional domain with a thin bridge
Nazarov, SA
SIBERIAN MATHEMATICAL JOURNAL, 1998, 39 (01) : 81 - 98
[40] On behavior of the solution of Dirichlet problem for second order elliptic equation near the boundary
Dumanyan, V.Zh.
Doklady Akademii Nauk, 2002, 386 (06) : 735 - 738

← 1 2 3 4 5 →