ON SUBLINEAR SINGULAR (P,Q) LAPLACIAN PROBLEMS

被引：2

作者：

Alreshidi, B. ^{[1
]}

Hai, D. D. ^{[1
]}

Shivaji, R. ^{[2
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

[2] Univ N Carolina, Dept Math & Stat, Grennsboro, NC 27402 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2023年 / 22卷 / 09期

关键词：

STRONG MAXIMUM PRINCIPLE; POSITIVE SOLUTIONS; ELLIPTIC PROBLEMS; EQUATION;

D O I：

10.3934/cpaa.2023087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a positive solution to the (p, q) Laplacian problem- increment pu - increment qu = & lambda;f (u) in & OHM;, u = 0 on partial differential & OHM;,where & OHM; is a bounded domain in Rn with smooth boundary partial differential & OHM;, p > q > 1, increment ru = div(| backward difference u|r-2 backward difference u), f : (0,& INFIN;) & RARR; R is continuous, p-sublinear at & INFIN; and is allowed to be singular at 0, and & lambda; > 0 is a large parameter.

引用

页码：2773 / 2783

页数：11

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