Global integrability for solutions to quasilinear elliptic systems with degenerate coercivity

被引：0

作者：

Li, Ya ^{[1
]}

Liu, Gaoyang ^{[1
]}

Gao, Hongya ^{[1
]}

机构：

[1] Hebei Univ, Coll Math & Informat Sci, Baoding 071002, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 05期

基金：

中国国家自然科学基金;

关键词：

degenerate coercivity; global integrability; quasilinear elliptic system; BOUNDED SOLUTIONS; WEAK SOLUTIONS; REGULARITY; EQUATIONS; EXISTENCE;

D O I：

10.1002/mana.202200550

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with global integrability for solutions to quasilinear elliptic systems involving N equations of the form {- Sigma(n)(i=1) D-i.. (Sigma(N)(beta=1)Sigma(n)(j=1) alpha(i,j) (alpha,beta) (x, u(x))D(j)u(beta)(x)) = f(alpha)(x). in Omega. u(x) = 0, on partial derivative Omega, where Omega is an open bounded subset of R-n, n > 2, u = (u(1), u(2), ..., u(N)) : Omega subset of R-n -> R-N, N >= 2. Under degenerate coercivity condition of the diagonal coefficients and proportional condition of the off-diagonal coefficients, we obtain some global integrability results.

引用

页码：1818 / 1830

页数：13

共 50 条

[1] Global integrability for solutions to quasilinear elliptic systems
Gao, Hongya
Huang, Miaomiao
Deng, Hua
Ren, Wei
MANUSCRIPTA MATHEMATICA, 2021, 164 (1-2) : 23 - 37
[2] Existence of distributional solutions to some quasilinear degenerate elliptic systems with low integrability of the datum
Di Gironimo, Patrizia
Leonardi, Salvatore
Leonetti, Francesco
Macri, Marta
ADVANCES IN CALCULUS OF VARIATIONS, 2025,
[3] Existence of solutions to some quasilinear degenerate elliptic systems when the datum has an intermediate degree of integrability
Di Gironimo, Patrizia
Leonetti, Francesco
Macri, Marta
Petricca, Pier Vincenzo
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023, 68 (09) : 1566 - 1580
[4] Existence and regularity for solutions of quasilinear degenerate elliptic systems
Di Gironimo, Patrizia
Leonetti, Francesco
Macri, Marta
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2024, 245
[5] Existence of Bounded Solutions for some Quasilinear Degenerate Elliptic Systems
Di Gironimo, Patrizia
Leonetti, Francesco
Macri, Marta
Petricca, Pier Vincenzo
MINIMAX THEORY AND ITS APPLICATIONS, 2021, 6 (02): : 321 - 340
[6] Local integrability for solutions to some quasilinear elliptic systems
Leonetti, Francesco
Petricca, Pier Vincenzo
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2012, 23 (02) : 115 - 136
[7] Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems
Dong, Yan
Niu, Pengcheng
JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 270 (07) : 2383 - 2414
[8] MULTIPLE NONSEMITRIVIAL SOLUTIONS FOR A CLASS OF DEGENERATE QUASILINEAR ELLIPTIC SYSTEMS
Afrouzi, Ghasem A.
Hadjian, Armin
Zographopoulos, Nicolaos B.
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2015, 45 (02) : 385 - 397
[9] Regularity for solutions of nonlinear elliptic equations with degenerate coercivity
Benkirane A.
Youssfi A.
Ricerche di Matematica, 2007, 56 (2) : 241 - 275
[10] Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space
Di Gironimo, Patrizia
Leonardi, Salvatore
Leonetti, Francesco
Macri, Marta
Petricca, Pier Vincenzo
MATHEMATICS IN ENGINEERING, 2022, 5 (03): : 1 - 23

← 1 2 3 4 5 →