A-priori bounds and positive solutions to a class of quasilinear elliptic equations

被引：0

作者：

Montenegro, M ^{[1
]}

de Paiva, FOV ^{[1
]}

机构：

[1] Univ Estadual Campinas, IMECC, Dept Matemat, Caixa Postal 6065, BR-13083970 Campinas, SP, Brazil

来源：

CONTRIBUTIONS TO NONLINEAR ANALYSIS: A TRIBUTE TO D. G. DE FIGUEIREDO ON THE OCCASION OF HIS 70TH BIRTHDAY | 2006年 / 66卷

基金：

巴西圣保罗研究基金会;

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a-priori estimates for positive solutions u of the equation -div (vertical bar del u vertical bar(p-2)del U) = f (u) on a bounded domain Omega with u = 0 on partial derivative Omega and 1 < p < 2. Whenever f (u) = u(q) our results include the range p-1 < q < p*-1 and nonconvex domains.

引用

页码：407 / +

页数：2

共 10 条

[1] Allegretto W, 1998, NONLINEAR ANAL-THEOR, V32, P819
[2] A priori estimates and continuation methods for positive solutions of p-Laplace equations
Azizieh, C
Clément, P
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 179 (01) : 213 - 245
[3] Damascelli L., 1998, ANN SC NORM SUP PI S, V26, P689
[4] DEFIGUEIREDO DG, 1982, J MATH PURE APPL, V61, P41
[5] C1+ALPHA LOCAL REGULARITY OF WEAK SOLUTIONS OF DEGENERATE ELLIPTIC-EQUATIONS
DIBENEDETTO, E
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (08) : 827 - 850
[6] Gidas B., 1981, COMMUN PART DIFF EQ, V6, P883, DOI 10.1080/03605308108820196
[7] KAVIAN O, 1978, CR ACAD SCI A MATH, V286, P779
[8] BOUNDARY-REGULARITY FOR SOLUTIONS OF DEGENERATE ELLIPTIC-EQUATIONS
LIEBERMAN, GM
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1988, 12 (11) : 1203 - 1219
[9] EXISTENCE AND NONEXISTENCE OF NONTRIVIAL SOLUTIONS OF SOME NONLINEAR DEGENERATE ELLIPTIC-EQUATIONS
OTANI, M
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1988, 76 (01) : 140 - 159
[10] A priori estimates and existence of positive solutions for strongly nonlinear problems
Ruiz, D
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 199 (01) : 96 - 114

← 1 →