EXACT BOUNDARY BEHAVIOR OF SOLUTIONS TO SINGULAR NONLINEAR DIRICHLET PROBLEMS

被引：0

作者：

Li, Bo ^{[1
]}

Zhang, Zhijun ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Semilinear elliptic equation; singular Dirichlet problem; positive solution; boundary behavior; POSITIVE SOLUTIONS; ASYMPTOTIC-BEHAVIOR; ELLIPTIC-EQUATIONS; UNIQUE SOLUTION; EXISTENCE; GRADIENT; MULTIPLICITY; NONEXISTENCE; BIFURCATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we analyze the exact boundary behavior of solutions to the singular nonlinear Dirichlet problem -Delta u = b(x)g(u) + lambda a(x) f (u), u > 0, x is an element of Omega, u vertical bar(partial derivative Omega)= 0, where Omega is a bounded domain with smooth boundary in R-N, lambda > 0, g is an element of C-1((0, infinity), (0, infinity)), g(s) = infinity, b, a is an element of C-loc(alpha)(Omega), are positive, but may vanish or be singular on the boundary, and f is an element of C([0, infinity), [0, infinity)).

引用

页数：12

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