Positive Solution to a Nonlinear Elliptic Problem

被引：2

作者：

Ghardallou, Zeineb ^{[1
,2
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Dept Math Anal & Applicat, LR11ES11,El Manar 1, Tunis 2092, Tunisia

[2] Univ Wroclaw, Inst Math, Plac Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

来源：

POTENTIAL ANALYSIS | 2016年 / 44卷 / 03期

关键词：

Nonlinear elliptic problems; Regular domain; Greenian domain; Green function; EXISTENCE;

D O I：

10.1007/s11118-015-9509-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a second order elliptic operator with smooth coefficients satisfying L1 = 0 defined in a domain Omega that is Greenian for L. Under fairly general hypotheses on the function phi, we solve the following problem: {Lu + phi(., u) = 0 in the sense of distributions in Omega; u > 0, in Omega; u = 0, on partial derivative Omega.

引用

页码：449 / 472

页数：24

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