Non-homogeneous p-Laplacian equations on the Sierpinski gasket

被引：0

作者：

Sahu, Abhilash ^{[1
,2
]}

Prasad, M. Guru Prem ^{[1
]}

机构：

[1] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, India

[2] Univ Petr & Energy Studies, Sch Engn, Dept Math, Dehra Dun, India

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 06期

关键词：

Euler functional; non-homogeneous equation; p-energy; Sierpinski gasket; weak p-Laplacian; weak solutions; MULTIPLE EXISTENCE; ELLIPTIC-EQUATIONS;

D O I：

10.1002/mma.8923

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S be the Sierpinski gasket in R-2 and S-0 denote the boundary of S. In this paper, we study the following non-homogeneous p-Laplacian equation -delta(p)u = lambda|u|(q-2)u + f in S\S-0 u = 0 on S-0, where p, q, lambda are real numbers such that lambda > 0, 1 < p < q and the function f : S -> R is suitably chosen. The existence of at least two nontrivial weak solutions to the above non-homogeneous equation on the Sierpinski gasket will be established.

引用

页码：6545 / 6557

页数：13

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