Existence of triple solutions for elliptic equations driven by p-Laplacian-like operators with Hardy potential under Dirichlet–Neumann boundary conditions

被引：0
作者：
Jian Liu
Zengqin Zhao
机构：
[1] Shandong University of Finance and Economics,School of Statistics and Mathematics
[2] Qufu Normal University,School of Mathematical Sciences
来源：
Boundary Value Problems | / 2023卷
关键词：
Elliptic equations; p-Laplacian type; Two parameters; Hardy potential; Mixed boundary conditions; 35J15; 35J20; 35J25;
D O I：
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摘要：
In this article, we focus on triple weak solutions for some p-Laplacian-type elliptic equations with Hardy potential, two parameters, and mixed boundary conditions. We show the existence of at least three distinct weak solutions by using variational methods, the Hardy inequality, and the Bonanno–Marano-type three critical points theorem under suitable assumptions, and the existence of solutions to some particular cases of this type of elliptic equations are also obtained.
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