Existence of Solutions of Anisotropic Problems with Variable Exponents with Robin Boundary Conditions

被引：0

作者：

Hsini, M. ^{[1
]}

Mbarki, L. ^{[1
]}

Das, K. ^{[2
]}

机构：

[1] Fac Sci Tunis Manar, Math Dept, Tunis 2092, Tunisia

[2] Taki Govt Coll, Math Dept, Taki 743429, India

来源：

MATHEMATICAL NOTES | 2022年 / 112卷 / 5-6期

关键词：

anisotropic p(x)-Laplacian; anisotropic Sobolev space; Mountain pass theorem; Ekeland variational principle; Robin boundary conditions; SPACES; FUNCTIONALS;

D O I：

10.1134/S0001434622110244

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of nontrivial weak solutions of the anisotropic problem with variable exponent and Robin boundary conditions is the focus of this research. We obtain the existence of solutions using the Mountain pass theorem and the Ekeland variational principle as well as the theory of the anisotropic variable exponent Sobolev space.

引用

页码：898 / 910

页数：13

共 50 条

[1] Existence of Solutions of Anisotropic Problems with Variable Exponents with Robin Boundary Conditions
M. Hsini
L. Mbarki
K. Das
Mathematical Notes, 2022, 112 : 898 - 910
[2] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR ANISOTROPIC ELLIPTIC PROBLEMS WITH VARIABLE EXPONENT AND NONLINEAR ROBIN BOUNDARY CONDITIONS
Ellahyani, Brahim
El Hachimi, Abderrahmane
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[3] Existence and multiplicity results for elliptic problems with Nonlinear Boundary Conditions and variable exponents
Zerouali, A.
Karim, B.
Chakrone, O.
Anane, A.
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2015, 33 (02): : 121 - 131
[4] EXISTENCE OF ENTROPY SOLUTIONS FOR SOME QUASILINEAR ANISOTROPIC ELLIPTIC UNILATERAL PROBLEMS WITH VARIABLE EXPONENTS
Azroul, Elhoussine
Bouziani, Mohammed
Hjiaj, Hassane
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023,
[5] Fine regularity for elliptic and parabolic anisotropic Robin problems with variable exponents
Boureanu, Maria-Magdalena
Velez-Santiago, Alejandro
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (12) : 8164 - 8232
[6] Existence Results for an Nonlinear Variable Exponents Anisotropic Elliptic Problems
Naceri, Mokhtar
KYUNGPOOK MATHEMATICAL JOURNAL, 2024, 64 (02): : 271 - 286
[7] ANISOTROPIC PROBLEMS WITH VARIABLE EXPONENTS AND CONSTANT DIRICHLET CONDITIONS
Boureanu, Maria-Magdalena
Udrea, Cristian
Udrea, Diana-Nicoleta
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[8] Existence of solutions for Kirchhoff ff-double phase anisotropic variational problems with variable exponents
Ma, Wei
Zhang, Qiongfen
AIMS MATHEMATICS, 2024, 9 (09): : 23384 - 23409
[9] Existence of solutions to quasi-linear elliptic problems with generalized Robin boundary conditions
Biegert, Markus
Warma, Mahamadi
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (06) : 1853 - 1863
[10] Infinitely many solutions for a class of fractional Robin problems with variable exponents
Alsaedi, Ramzi
AIMS MATHEMATICS, 2021, 6 (09): : 9277 - 9289

← 1 2 3 4 5 →