Bounded solutions of elliptic BVPs in exterior domain

被引：0

作者：

Orpel, A ^{[1
]}

机构：

[1] Univ Lodz, Fac Math, PL-90238 Lodz, Poland

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2005年 / 26卷 / 7-8期

关键词：

dependence on functional parameters; duality method; Euler-Lagrange equation; variational principle;

D O I：

10.1080/1630560500451595

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to answer the question: when the Dirichlet problem for a certain partial differential equations (PDE) of elliptic type considered in unbounded domain possess at least one (notrivial) non-negative solution. We also investigate the continuous dependence on functional parameters of these solutions. Our approach is based on variational methods.

引用

下载

页码：897 / 909

页数：13

共 50 条

[21] ON THE EXISTENCE OF BOUNDED POSITIVE SOLUTIONS OF SEMI-LINEAR ELLIPTIC-EQUATIONS IN EXTERIOR DOMAINS
FURUSHO, Y
OGURA, Y
DUKE MATHEMATICAL JOURNAL, 1981, 48 (03) : 497 - 521
[22] Multiple solutions of a quasilinear elliptic problem involving nonlinear boundary condition on exterior domain
Chen, Caisheng
Zhang, Qi
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (07) : 782 - 794
[23] Multiple solutions of a quasilinear elliptic system involving the nonlinear boundary conditions on exterior domain
Liu, Shuai
Chen, Caisheng
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (01) : 5 - 17
[24] Existence of solutions for (p(y), q(y))-Laplacian elliptic problem on an exterior domain
Kesarwani, Akanksha
Kar, Rasmita
GEORGIAN MATHEMATICAL JOURNAL, 2024,
[25] Positive solutions to a class of second-order semilinear elliptic equations in an exterior domain
Jin, Liangbing
Li, Chunming
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 79 : 233 - 237
[26] Shape optimization of an elliptic equation in an exterior domain
Wang, Gengsheng
Wang, Lijuan
Yang, Donghui
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (02) : 532 - 547
[27] Solutions to a (p(x), q(x))-biharmonic elliptic problem on a bounded domain
Khaleghi, Ali
Razani, Abdolrahman
BOUNDARY VALUE PROBLEMS, 2023, 2023 (01):
[28] EXISTENCE AND ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS OF A SEMILINEAR ELLIPTIC SYSTEM IN A BOUNDED DOMAIN
Chaieb, Majda
Dhifli, Abdelwaheb
Zermani, Samia
OPUSCULA MATHEMATICA, 2016, 36 (03) : 315 - 336
[29] Numerical approximation of bounded solutions for semilinear elliptic equations in an unbounded cylindrical domain
Fuming, Ma
Numerical Methods for Partial Differential Equations, 1993, 9 (06) : 631 - 642
[30] Boundary blow-up solutions for a class of elliptic equations on a bounded domain
Goncalves, J. V.
Roncalli, Angelo
APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (01) : 13 - 23

← 1 2 3 4 5 →