Existence of an entropic solution of a nonlinear elliptic problem in an unbounded domain

被引：1

作者：

Kozhevnikova, L. M. ^{[1
,2
]}

机构：

[1] Ufa Univ Sci & Technol, Sterlitamak Branch, Sterlitamak, Russia

[2] Kazan Volga Reg Fed Univ, Elabuga Branch, Yelabuga, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2024年 / 218卷 / 01期

关键词：

quasilinear elliptic equation; entropic solution; unbounded domain; existence of solution; Musielak-Orlicz space; RENORMALIZED SOLUTIONS; MUSIELAK; EQUATIONS;

D O I：

10.1134/S0040577924010082

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a second-order quasilinear elliptic equation with an integrable right-hand side. We formulate constraints on the structure of the equation in terms of a generalized N-function. We prove the existence of an entropic solution of the Dirichlet problem in nonreflexive Musielak-Orlicz-Sobolev spaces in an arbitrary unbounded strictly Lipschitz domain.

引用

页码：106 / 128

页数：23

共 50 条

[21] Existence of solutions for (p(y), q(y))-Laplacian elliptic problem on an exterior domain
Kesarwani, Akanksha
Kar, Rasmita
GEORGIAN MATHEMATICAL JOURNAL, 2024, 31 (06) : 987 - 998
[22] Existence of solutions of nonlinear elliptic equations with measure data in Musielak-Orlicz spaces
Kashnikova, A. P.
Kozhevnikova, L. M.
SBORNIK MATHEMATICS, 2022, 213 (04) : 476 - 511
[23] The Existence and Uniqueness of an Entropy Solution to Unilateral Orlicz Anisotropic Equations in an Unbounded Domain
Benslimane, Omar
Aberqi, Ahmed
Bennouna, Jaouad
AXIOMS, 2020, 9 (03)
[24] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC SYSTEM ON UNBOUNDED DOMAINS INVOLVING NONLINEAR BOUNDARY CONDITIONS
Khademloo, Somayeh
Afrouzi, Ghasem Alizadeh
Xu, Jiafa
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (03): : 1094 - 1106
[25] Existence and nonexistence of solutions for a singular elliptic problem with a nonlinear boundary condition
Xiu, Zonghu
Chen, Caisheng
ANNALES POLONICI MATHEMATICI, 2013, 109 (01) : 93 - 107
[26] The Existence of Positive Solution of a Nonlinear Problem on Unit Circle
Wei, Na
Zhou, Yanli
Ge, Xiangyu
JOURNAL OF FUNCTION SPACES, 2020, 2020
[27] Existence of Positive Solution for a Singular Elliptic Problem with an Asymptotically Linear Nonlinearity
Alves, Ricardo Lima
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (01)
[28] Existence of positive radial solutions for a nonlinear elliptic problem in annulus domains
Deng, Jian
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (13) : 1594 - 1600
[29] Existence of a positive solution for a singular elliptic problem with general exponential growth
Montenegro, Marcelo
Leon Tordecilla, Jesus Alberto
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 215
[30] Equivalence of Entropy and Renormalized Solutions of Anisotropic Elliptic Problem in Unbounded Domains with Measure Data
Kozhevnikova, L. M.
RUSSIAN MATHEMATICS, 2020, 64 (01) : 25 - 39

← 1 2 3 4 5 →