Existence of radial solutions for a p(x)-Laplacian Dirichlet problem

被引：0

作者：

Ragusa, Maria Alessandra ^{[1
,2
]}

Razani, Abdolrahman ^{[3
]}

Safari, Farzaneh ^{[3
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Catania, Italy

[2] RUDN Univ, 6 Miklukho Maklay St, Moscow 117198, Russia

[3] Imam Khomeini Int Univ, Dept Pure Math, Qazvin 3414916818, Iran

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Radial solution; p(x)-Laplacian; Dirichlet boundary condition; Variational principle;

D O I：

10.1186/s13662-021-03369-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using variational methods, we prove the existence of at least one positive radial solution for the generalized p(x)-Laplacian problem - Delta(p(x))u + R(x)u(p(x)-2)u = a(x)vertical bar u vertical bar(q(x)-2)u - b(x)vertical bar u vertical bar(r(x)-2)u with Dirichlet boundary condition in the unit ball in R-N (for N >= 3), where a, b, R are radial functions.

引用

页数：14

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