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
收藏
页码：106 / 128
页数：23
相关论文
共 50 条
  • [31] Existence and multiplicity results for singular quasilinear elliptic equation on unbounded domain
    Chen, Caisheng
    Shao, Lifang
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (05) : 768 - 779
  • [32] Regularized Solution of the Cauchy Problem in an Unbounded Domain
    Juraev, Davron Aslonqulovich
    Shokri, Ali
    Marian, Daniela
    SYMMETRY-BASEL, 2022, 14 (08):
  • [33] EXISTENCE AND UNIQUENESS OF THE SOLUTION TO A FREE BOUNDARY-VALUE PROBLEM WITH THERMOCAPILLARY CONVECTION IN AN UNBOUNDED DOMAIN
    SOCOLOWSKY, J
    ACTA APPLICANDAE MATHEMATICAE, 1994, 37 (1-2) : 181 - 194
  • [34] On the Existence Solutions for some Nonlinear Elliptic Problem
    Benkirane, Abdelmoujib
    El Haji, Badr
    El Moumni, Mostafa
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [35] Existence of weak solution for nonlinear elliptic system
    Hsini, Mounir
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2009, 36 (01): : 24 - 36
  • [36] Nonlinear elliptic unilateral problem existence of solutions
    Altmayer, KS
    DYNAMIC SYSTEMS AND APPLICATIONS, 2003, 12 (3-4): : 355 - 367
  • [37] The existence of strong solution for a nonlinear elliptic equation
    Li, Junyan
    Shen, Jieqiong
    SECOND INTERNATIONAL CONFERENCE ON PHYSICS, MATHEMATICS AND STATISTICS, 2019, 1324
  • [38] EXISTENCE OF A SOLUTION OF A STRONGLY NONLINEAR ELLIPTIC SYSTEM
    KIRICHENKO, VF
    SUROVA, NS
    DIFFERENTIAL EQUATIONS, 1986, 22 (10) : 1211 - 1215
  • [39] Existence of positive solutions of some nonlinear elliptic problems in unbounded domains
    Chen, Kuan-Ju
    Peng, Chen-Chang
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (02) : 841 - 862
  • [40] SOME EXISTENCE RESULTS FOR ELLIPTIC NONLINEAR PROBLEMS IN UNBOUNDED-DOMAINS
    MELOUAH, K
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (10): : 1029 - 1034
12345