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

被引：7

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

共 50 条

[41] Multiple solutions to a class of p(x)-biharmonic differential inclusion problem with no-flux boundary condition [J].

Zhou, Qing-Mei ;

Wang, Ke-Qi .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (04) :1549-1565

[42] Multiple Solutions for Nonlinear Navier Boundary Systems Involving (p1(x), ... , pn(x))-Biharmonic Problem [J].

Miao, Qing .

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2016, 2016

[43] Infinitely many solutions for a p(x)-triharmonic equation with Navier boundary conditions [J].

Belakhdar, Adnane ;

Belaouidel, Hassan ;

Filali, Mohammed ;

Tsouli, Najib .

JOURNAL OF APPLIED ANALYSIS, 2025, 31 (01) :45-54

[44] Existence of weak solutions for some local and nonlocal p-Laplacian problem [J].

Allalou, Chakir ;

Hilal, Khalid ;

Temghart, Said Ait .

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2022, 8 (01) :151-169

[45] Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem [J].

Moradi, Shahin ;

Afrouzi, Ghasem A. ;

Graef, John R. .

AXIOMS, 2023, 12 (10)

[46] Two Weak Solutions for a Singular (p, q)-Laplacian Problem [J].

Behboudi, F. ;

Razani, A. .

FILOMAT, 2019, 33 (11) :3399-3407

[47] Existence and Nonexistence for Boundary Problem Involving the p-Biharmonic Operator and Singular Nonlinearities [J].

El Mokhtar, Mohammed El Mokhtar Ould .

JOURNAL OF FUNCTION SPACES, 2023, 2023

[48] INFINITELY MANY SOLUTION FOR A NONLINEAR NAVIER BOUNDARY VALUE PROBLEM INVOLVING THE p-BIHARMONIC [J].

Candito, Pasquale ;

Livrea, Roberto .

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2010, 55 (04) :41-51

[49] Existence and multiplicity of solutions for a singular problem involving the p-biharmonic operator in RN [J].

Dhifli, Abdelwaheb ;

Alsaedi, Ramzi .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 499 (02)

[50] Existence and multiplicity of weak solutions for a Neumann boundary value problem with the Sturm-Liouville equation [J].

Ranjkesh, Mehrnoush ;

Afrouzi, Ghasem Alizadeh ;

Khademloo, Somayeh .

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2020, 47 (02) :267-275

← 1 2 3 4 5 →