A class of semilinear elliptic equations on the Sierpinski gasket

被引：0

作者：

Kar, Rasmita ^{[1
]}

Badajena, A. K. ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Rourkela, India

来源：

APPLICABLE ANALYSIS | 2021年 / 100卷 / 15期

关键词：

Sierpinski gasket; semilinear elliptic equations; fractal domains; monotone operators; MULTIPLE SOLUTIONS; BROWNIAN-MOTION;

D O I：

10.1080/00036811.2020.1713313

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of a weak (strong) solution for the semilinear elliptic problem -Delta u(x) - lambda g(x)u(x) = -f(x, u(x)) in V\V-0 u = 0 on V-0, where V is the Sierpinski gasket in RN-1(N >= 2), V-0 is its boundary (consisting of its N corners) and. is a real parameter. Here g : V -> R and f : V x R -> R are functions satisfying suitable hypotheses.

引用

页码：3212 / 3219

页数：8

共 50 条

[31] Optimal Control Problems for a Class of Semilinear Multisolution Elliptic Equations
H. Gao
N.H. Pavel
[J]. Journal of Optimization Theory and Applications, 2003, 118 : 353 - 380
[32] Optimal control problems for a class of semilinear multisolution elliptic equations
Gao, H
Pavel, NH
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2003, 118 (02) : 353 - 380
[33] Infinitely many solutions for a class of semilinear elliptic equations in RN
Alessio, F
Caldiroli, P
Montecchiari, P
[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2001, 4B (02): : 311 - 317
[34] The dirichlet problems for a class of semilinear sub-elliptic equations
Xu, CJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (08) : 1039 - 1049
[35] On the positive radial solutions of a class of singular semilinear elliptic equations
Deng, Yinbin
Li, Yi
Yang, Fen
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (02) : 481 - 501
[36] Asymptotic behavior of radial solutions for a class of semilinear elliptic equations
Chen, SH
Lu, GZ
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1997, 133 (02) : 340 - 354
[37] On the existence of positive solutions to a certain class of semilinear elliptic equations
Ikoma, Norihisa
[J]. PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021, 2 (02):
[38] Remarks on existence and multiplicity of solutions for a class of semilinear elliptic equations
Wu, XP
Tang, CL
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (01) : 369 - 376
[39] A remark on the existence of explosive solutions for a class of semilinear elliptic equations
Zhang, ZJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 41 (1-2) : 143 - 148
[40] Multiple solutions of a class of Neumann problem for semilinear elliptic equations
Tang, CL
Wu, XP
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (03) : 455 - 465

← 1 2 3 4 5 →