Positive Solutions for Dirichlet BVP of PDE Involving φp-Laplacian

被引：0
|
作者：
Xiong, Feng [1 ,2 ]
Huang, Wentao [1 ]
机构：
[1] Guangxi Normal Univ, Coll Math & Stat, Guilin 541006, Peoples R China
[2] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
来源：
FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 03期
关键词：
bvp; positive solutions; pde; phi(p)-Laplacian; critical point theory; BOUNDARY-VALUE PROBLEM; NONLINEAR DIFFERENCE-EQUATIONS; MULTIPLE SOLUTIONS; SUBHARMONIC SOLUTIONS; HOMOCLINIC SOLUTIONS; DISCRETE; EXISTENCE;
D O I：
10.3390/fractalfract8030130
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the existence of infinitely many small solutions for problem (f(phi p)) involving phi(p)-Laplacian by exploiting critical point theory. Moreover, the present study first attempts to address discrete Dirichlet problems with phi(p)-Laplacian in relation to some relative existing references. As far as we know, this research of the partial discrete bvp involves phi(p)-Laplacian for the first time. Our results are illustrated with three examples.
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