Existence of bounded solutions for nonlinear elliptic equations in unbounded domains

被引：20

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

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