Existence results for some elliptic systems with perturbed gradient

被引：4

作者：

Temghart, Said Ait ^{[1
]}

El Hammar, Hasnae ^{[1
]}

Allalou, Chakir ^{[1
]}

Hilal, Khalid ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, LMACS, FST Beni Mellal, Beni Mellal, Morocco

来源：

FILOMAT | 2023年 / 37卷 / 20期

关键词：

Elliptic systems; Weak solutions; Galerkin method; Young measures; LAPLACIAN; SPACES;

D O I：

10.2298/FIL2320905A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of weak solutions for some nonlinear elliptic problems with perturbed gradient under homogeneous Dirichlet boundary conditions. We apply the Galerkin approximation and the convergence in term of Young measure combined with the theory of Sobolev spaces to obtain the existence of at least one weak solution u is an element of W01,p(ohm; Rm).

引用

页码：6905 / 6915

页数：11

共 50 条

[21] EXISTENCE RESULTS FOR CRITICAL ELLIPTIC SYSTEMS IN RN
Yu, Shengli
Long, Jing
ADVANCES IN DIFFERENTIAL EQUATIONS, 2012, 17 (3-4) : 201 - 224
[22] Existence results for critical singular elliptic systems
Long, Jing
Yang, Jianfu
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 4199 - 4214
[23] Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient
Leonelo Iturriaga
Sebastian Lorca
Boundary Value Problems, 2007
[24] On Existence of Ground States for Some Elliptic Systems
Wei Gongming
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2010, 23 (04): : 305 - 314
[25] EXISTENCE OF SOLUTIONS FOR SINGULARLY PERTURBED HAMILTONIAN ELLIPTIC SYSTEMS WITH NONLOCAL NONLINEARITIES
Yang, Minbo
Wei, Yuanhong
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2014, 43 (02) : 385 - 402
[26] SOME EXISTENCE AND NON-EXISTENCE RESULTS FOR A NONLINEAR ELLIPTIC PDE
DETHELIN, F
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1984, 299 (18): : 911 - 914
[27] Existence results for a class of perturbed impulsive Hamiltonian systems
Nomali, Hamed faghan
Afrouzi, Ghasem A.
Haghshenas, Hadi
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2024, 51 (02): : 332 - 351
[28] EXISTENCE OF PERIODIC SURFACES OF SOME SINGULARLY PERTURBED SYSTEMS
CHANG, SH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1970, 29 (02) : 236 - &
[29] SOME EXISTENCE RESULTS FOR ELLIPTIC SYSTEMS WITH EXPONENTIAL NONLINEARITIES AND CONVECTION TERMS IN DIMENSION TWO
Liu, Wei
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2022, 60 (02) : 673 - 697
[30] Existence and multiplicity results for some Lane-Emden elliptic systems: Subquadratic case
Barile, Sara
Salvatore, Addolorata
ADVANCES IN NONLINEAR ANALYSIS, 2015, 4 (01) : 25 - 35

← 1 2 3 4 5 →