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

共 50 条

[21] On the existence of solutions of the first boundary value problem for elliptic equations on unbounded domains
A. L. Beklaryan
[J]. Russian Journal of Mathematical Physics, 2012, 19 : 509 - 510
[22] Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of Rn
Zeddini, Noureddine
[J]. ABSTRACT AND APPLIED ANALYSIS, 2006,
[23] Multiple solutions for an elliptic system on bounded and unbounded domains
Alves, CO
de Morais, DC
Miyagaki, OH
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (04) : 555 - 568
[24] EXISTENCE OF BOUNDED SOLUTIONS OF FULLY NONLINEAR ELLIPTIC EQUATIONS MODELING THE FIRST PASSAGE TIME IN CYLINDRICAL DOMAINS
Di Crescenzo, Antonio
Spina, Serena
Vitolo, Antonio
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2024, 37 (3-4) : 237 - 266
[25] SOLUTIONS OF ANISOTROPIC ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS
Kozhevnikova, L. M.
Khadzhi, A. A.
[J]. VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2013, (01): : 90 - 96
[26] EXISTENCE OF BOUNDED SOLUTIONS FOR NONLINEAR DEGENERATE ELLIPTIC EQUATIONS IN ORLICZ SPACES
Youssfi, Ahmed
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[27] Positive Solutions of Nonlinear Elliptic Equations in Unbounded Domains in R2
Habib Mâagli
Lamia Mâatoug
[J]. Potential Analysis, 2003, 19 : 261 - 279
[28] Positive solutions of nonlinear elliptic equations in unbounded domains in R2
Mâagli, H
Mâatoug, L
[J]. POTENTIAL ANALYSIS, 2003, 19 (03) : 261 - 279
[29] On Solutions of Nonlinear Elliptic Equations with L1-Data in Unbounded Domains
Kozhevnikova, L. M.
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (05) : 1879 - 1901
[30] Nonlinear Integroparabolic Equations on Unbounded Domains: Existence of Classical Solutions with Special Properties
M. M. Lavrentiev
R. Spigler
D. R. Akhmetov
[J]. Siberian Mathematical Journal, 2001, 42 : 495 - 516

← 1 2 3 4 5 →