SEMILINEAR ELLIPTIC EQUATIONS INVOLVING A GRADIENT TERM IN UNBOUNDED DOMANS

被引：0

作者：

Raghavendra, V. ^{[1
]}

Kar, Rasmita ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Monotone method; Ambrosetti-prodi type problem; unbounded domain; MULTIPLICITY RESULT; POSITIVE SOLUTIONS; EXISTENCE;

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 study the existence of a classical solution of semilinear elliptic BVP involving gradient term of the type -Delta u = g(u) + psi (del u) + f in Omega, u = 0 on partial derivative Omega, where Omega is a (not necessarily bounded) domain in R-n, n >= 2 with smooth boundary partial derivative Omega. f is an element of C-loc(0,alpha) ((Omega) over bar); 0 < alpha < 1, psi is an element of C-1 (R-n, R) and g satis fi es certain conditions (well known in the literature as \ jumping nonlinearity").

引用

页数：13

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