Existence of two non-zero weak solutions for a p(•)-biharmonic problem with Navier boundary conditions

被引：3

作者：

Bonanno, Gabriele ^{[1
]}

Chinni, Antonia ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
,4
,5
,6
]}

机构：

[1] Univ Messina, Dept Engn, I-98166 Messina, Italy

[2] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

[3] Brno Univ Technol, Fac Elect Engn & Commun, Tech 3058-10, Brno 61600, Czech Republic

[4] Zhejiang Normal Univ, Sch Math, Jinhua 321004, Zhejiang, Peoples R China

[5] Univ Craiova, Dept Math, Craiova 200585, Romania

[6] Romanian Acad, Simion Stoilow Inst Math, 21 Calea Grivitei St, Bucharest 010702, Romania

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2023年 / 34卷 / 03期

关键词：

p(center dot)-biharmonic-type operators; Navier boundary value problem; variational methods; MULTIPLE SOLUTIONS; VARIABLE EXPONENT; ELLIPTIC PROBLEMS; SPACES; LEBESGUE; THEOREM; DRIVEN;

D O I：

10.4171/RLM/1025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of non-trivial weak solutions for some problems with Navier boundary conditions driven by the p(center dot)-biharmonic operator is investigated. The proofs combine variational methods with topological arguments.

引用

页码：727 / 743

页数：17

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