EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A p(x)-KIRCHHOFF TYPE EQUATION WITH STEKLOV BOUNDARY

被引：0

作者：

Yucedag, Zehra ^{[1
]}

机构：

[1] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkiye

来源：

MISKOLC MATHEMATICAL NOTES | 2024年 / 25卷 / 01期

关键词：

p ( x )-Kirchhoff-type equation; variable exponent Sobolev spaces; Steklov boundary value; variational principle; VARIABLE EXPONENT;

D O I：

10.18514/MMN.2024.4321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a class of p ( x ) -Kirchhoff type problem with Steklov boundary value in variable exponent Sobolev spaces. Precisely, we show the existence of at least three solutions and a nontrivial weak solution.

引用

页码：523 / 536

页数：14

共 31 条

[1] Afrouzi G. A., 2014, Steklov problem involving the p(x)-Laplacian, V134, P1, DOI [10.1080/17476933.2015.1031122, DOI 10.1080/17476933.2015.1031122]
[2] Ali K. B., 2018, Existence results for Steklov problem involving the p(x)-Laplace operator, V63, P1675, DOI [10.7494/OpMath.2017.37.6.779, DOI 10.7494/OPMATH.2017.37.6.779]
[3] CONTINUOUS SPECTRUM OF STEKLOV NONHOMOGENEOUS ELLIPTIC PROBLEM
Allaoui, Mostafa
[J]. OPUSCULA MATHEMATICA, 2015, 35 (06) : 853 - 866
[4] Allaoui M, 2012, ELECTRON J DIFFER EQ
[5] A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
Antontsev, SN
Shmarev, SI
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (03) : 515 - 545
[6] Ayoujil A., 2014, On the superlinear Steklov problem involving the p(x)-Laplacian, V2014, P1, DOI [10.14232/ejqtde.2014.1.38, DOI 10.14232/EJQTDE.2014.1.38]
[7] Ben Ali K, 2017, OPUSC MATH, V37, P779, DOI 10.7494/OpMath.2017.37.6.779
[8] Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian
Bonanno, G
Candito, P
[J]. ARCHIV DER MATHEMATIK, 2003, 80 (04) : 424 - 429
[9] Generalized critical Kirchhoff-type potential systems with Neumann Boundary conditions
Chems Eddine, Nabil
Ragusa, Maria Alessandra
[J]. APPLICABLE ANALYSIS, 2022, 101 (11) : 3958 - 3988
[10] Variable exponent, linear growth functionals in image restoration
Chen, Yunmei
Levine, Stacey
Rao, Murali
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (04) : 1383 - 1406

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