Semilinear elliptic equation involving the p-Laplacian on the Sierpiski gasket

被引：4

作者：

Sahu, Abhilash ^{[1
]}

Priyadarshi, Amit ^{[1
]}

机构：

[1] Indian Inst Technol Delhi, Dept Math, New Delhi, India

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2019年 / 64卷 / 01期

关键词：

Sierpiski gasket; p-Laplacian; weak solution; p-energy; Euler functional; NEHARI MANIFOLD; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; SIERPINSKI GASKET; EXISTENCE;

D O I：

10.1080/17476933.2017.1419212

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the following boundary value problem involving the weak p-Laplacian where is the Sierpiski gasket in , is its boundary, , , and are appropriate functions. We will show the existence of a nontrivial weak solution to the above problem for a certain range of using the analysis of fibering maps on suitable subsets.

引用

页码：112 / 125

页数：14

共 38 条

[1] Nehari manifold and existence of positive solutions to a class of quasilinear problems
Alves, CO
El Hamidi, A
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (04) : 611 - 624
[2] A priori bounds and multiple solutions for superlinear indefinite elliptic problems
Amann, H
Lopez-Gomez, J
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 146 (02) : 336 - 374
[3] Multiple nonnegative solutions for elliptic boundary value problems involving the p-Laplacian
Anello, G
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2005, 26 (02) : 355 - 366
[4] Multiple nonnegative solutions for an elliptic boundary value problem involving combined nonlinearities
Anello, Giovanni
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (1-2) : 400 - 408
[5] [Anonymous], NONLINEAR ANAL MODEL
[6] [Anonymous], 2001, ELECTRON J DIFFER EQ
[7] [Anonymous], 2014, FRACTAL GEOMETRY MAT
[8] On a superlinear elliptic p-Laplacian equation
Bartsch, T
Liu, ZL
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 198 (01) : 149 - 175
[9] Binding P. A., 1997, ELECT J DIFFERENTIAL, V1997, P1
[10] Existence of multiple solutions of critical quasilinear elliptic Neumann problems
Binding, PA
Drábek, P
Huang, YX
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (04) : 613 - 629

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