Existence Results for Perturbed Fourth-order Kirchhoff Type Elliptic Problems with Singular Term

被引：0

作者：

Ghazvehi, Ahmad ^{[1
]}

Afrouzi, Ghasem A. ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babolsar, Iran

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2022年 / 40卷

关键词：

p-biharmonic; Kirchhoff-type problem; Navier condition; Hardy-Rellich inequality; Variational methods; MULTIPLE SOLUTIONS; BIHARMONIC-EQUATIONS;

D O I：

10.5269/bspm.44841

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under appropriate growth conditions on the nonlinearity, the existence of multiple solutions for a perturbed nonlocal fourth-order Kirchhoff-type problem involving the Hardy term: Delta(2)(p)u - [M(integral Omega vertical bar del u vertical bar(p)dx](p-1) Delta(u)(p) - mu vertical bar mu vertical bar(p-2u)/vertical bar x vertical bar(2p) = lambda f(x,u), is established. Our main tools are based on variational methods and some critical points theorems. We give some examples to illustrate the obtained results.

引用

页数：15

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