On Positive Weak Solutions For Some Nonlinear Elliptic Boundary Value Problems Involving The P-laplacian

被引：2

作者：

Rasouli, S. H. ^{[1
]}

Afrouzi, G. A. ^{[2
]}

Vahidi, J. ^{[3
]}

机构：

[1] Babol Univ Technol, Fac Basic Sci, Dept Math, Babol Sar, Iran

[2] Mazandaran Univ, Fac Basic Sci, Dept Math, Babol Sar, Iran

[3] Iran Univ Sci & Technol, Dept Appl Math, Behshahr, Iran

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2011年 / 3卷 / 01期

关键词：

Positive weak solutions; p-Laplacian; sub-super solution;

D O I：

10.22436/jmcs.03.01.08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This study concerns the existence of positive weak solutions to boundary value problems of the form [GRAPHICS] where Delta(p) is the so-called p-Laplacian operator i.e. Delta(p)z = div (|del z|(p-2)del z), p> 1, Omega is a smooth bounded domain in R-N (N >= 2) with partial derivative Omega of class C-2, and connected, and g(x, 0) < 0 for some x is an element of Omega (semipositone problems). By using the method of sub-super solutions we prove the existence of the positive weak solution to special types of g(x, u).

引用

页码：94 / 101

页数：8

共 10 条

[1]

Afrouzi G.A., 2006, NONLINEAR ANAL-MODEL, V11, P323

[2]

BERESTYCKI H, 1997, ANN SCUOLA NORM SU S, V25, P69

[3] Existence and uniqueness of positive solutions for some quasilinear elliptic problems [J].

Drábek, P ;

Hernández, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 44 (02) :189-204

[4]

Drabek P., 1999, NONLINEAR DIFFERENTI

[5] An existence result on positive solutions for a class of p-Laplacian systems [J].

Hai, DD ;

Shivaji, R .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (07) :1007-1010

[6] On a class of sublinear quasilinear elliptic problems [J].

Hai, DD .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (08) :2409-2414

[7] Diffusive logistic equation with constant yield harvesting, I: Steady states [J].

Oruganti, S ;

Shi, JP ;

Shivaji, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (09) :3601-3619

[8]

Oruganti S., 2004, ABSTR APPL ANAL, V9, P723

[9] MONOTONE METHODS IN NONLINEAR ELLIPTIC AND PARABOLIC BOUNDARY-VALUE PROBLEMS [J].

SATTINGER, DH .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1972, 21 (11) :979-+

[10] REGULARITY FOR A MORE GENERAL-CLASS OF QUASILINEAR ELLIPTIC-EQUATIONS [J].

TOLKSDORF, P .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1984, 51 (01) :126-150

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