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

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