Applications of monotone operators to a class of semilinear elliptic BVPs in unbounded domain

被引：0

作者：

Kar, Rasmita ^{[1
]}

机构：

[1] LNM Inst Informat Technol, Jaipur 302031, Rajasthan, India

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2014年 / 21卷 / 02期

关键词：

Monotone operators; Weighted Sobolev space; Semilinear elliptic equations; Unbounded domain; POSITIVE SOLUTIONS; BANACH SPACES; EQUATIONS; EXISTENCE; THEOREMS;

D O I：

10.36045/bbms/1400592626

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of a weak solution for a semilinear elliptic Dirichlet boundary-value problem Lu(x) - mu ug(1) (x) + h(u)g(2)(x) = f (x) in Omega, u(x) = 0 on partial derivative Omega, in a suitable weighted Sobolev space, where Omega = R-n\K,n >= 3 is an unbounded domain, and where K is a closure of some bounded domain in R-n, n >= 3.

引用

页码：291 / 301

页数：11

共 50 条

[21] Nontrivial solution for a semilinear elliptic equation in unbounded domain with critical Sobolev exponent
Chen, SW
Li, YQ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 272 (02) : 393 - 406
[22] 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
[23] On a class of semilinear elliptic systems and applications in polyharmonic equations
Geng, D
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 254 (02) : 385 - 409
[24] Monotone iterative techniques for parameterized BVPs of abstract semilinear evolution equations
Wang, LL
Wang, ZC
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 46 (8-9) : 1229 - 1243
[25] MAXIMAL REGULARITY IN LP(RN) FOR A CLASS OF ELLIPTIC OPERATORS WITH UNBOUNDED COEFFICIENTS
Cupini, Giovanni
Fornaro, Simona
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2004, 17 (3-4) : 259 - 296
[26] Lp-estimates for a class of elliptic operators with unbounded coefficients in RN
Metafune, G
Pallara, D
Vespri, V
HOUSTON JOURNAL OF MATHEMATICS, 2005, 31 (02): : 605 - 620
[27] Applications of monotone operators to a class of fractional Laplacian equation
Raghavendra, V.
Kar, Rasmita
INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (07)
[28] ON SEMILINEAR ELLIPTIC 2ND-ORDER EQUATIONS SOLUTION BEHAVIOR IN UNBOUNDED DOMAIN
AGAYEV, EV
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1991, (04): : 15 - 19
[29] A semilinear elliptic equation on RN with unbounded coefficients
Sintzoff, P
Willem, M
VARIATIONAL AND TOPOLOGICAL METHODS IN THE STUDY OF NONLINEAR PHENOMENA, 2002, 49 : 105 - 113
[30] Monotone iterative technique for semilinear elliptic systems
AS Vatsala
Jie Yang
Boundary Value Problems, 2005

← 1 2 3 4 5 →