Existence of bounded solutions for nonlinear elliptic equations in unbounded domains

被引：22

作者：

Dall'Aglio, A ^{[1
]}

De Cicco, V ^{[1
]}

Giachetti, D ^{[1
]}

Puel, JP ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat Sci Applica, I-00161 Rome, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2004年 / 11卷 / 04期

关键词：

existence; nonlinear elliptic equations; p-Laplacian; unbounded domains; L-infinity-estimate; homogeneous lower order terms;

D O I：

10.1007/s00030-004-1070-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of bounded weak solutions for some nonlinear Dirichlet problems in unbounded domains. The principal part of the operator behaves like the p-laplacian operator, and the lower order terms, which depend on the solution u and its gradient delu, have a power growth of order p - 1 with respect to these variables, while they are bounded in the x variable. The source term belongs to a Lebesgue space with a prescribed asymptotic behaviour at infinity.

引用

页码：431 / 450

页数：20

共 15 条

[1]

Alvino A., 1979, REND ACC NAZ LINCEI, V66, P1

[2]

[Anonymous], 1966, SEMINAIRE MATH SUPER

[3]

Bottaro G., 1973, Boll. Un. Mat. Ital, V8, P46

[4]

CHICCO M, 2000, ANN MAT PUR APPL, V178, P325

[5] Nonlinear elliptic equations with natural growth in general domains [J].

Dall'Aglio, A. ;

Giachetti, D. ;

Puel, J. -P. .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2002, 181 (04) :407-426

[6]

Del Vecchio T., 1995, Ric. Mat, V44, P421

[7] QUASI-LINEAR ELLIPTIC-EQUATIONS WITH QUADRATIC GROWTH IN UNBOUNDED-DOMAINS [J].

DONATO, P ;

GIACHETTI, D .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1986, 10 (08) :791-804

[8]

Gilbarg D., 1977, Grundlehren der mathematischen Wissenschaften, V224

[9]

Giusti E, 1994, METODI DIRETTI NEL C

[10]

Leray J., 1965, Bull. Soc. Math. Fr, V93, P97, DOI DOI 10.24033/BSMF.1617

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