Existence of distributional solutions to some quasilinear degenerate elliptic systems with low integrability of the datum

被引：0

作者：

Di Gironimo, Patrizia ^{[2
]}

Leonardi, Salvatore ^{[1
]}

Leonetti, Francesco ^{[3
]}

Macri, Marta ^{[3
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95131 Catania, Italy

[2] Univ Salerno, Dipartimento Matemat, I-84084 Fisciano, Italy

[3] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, I-67100 Laquila, Italy

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2025年 / 18卷 / 02期

关键词：

Degenerate; elliptic; system; existence; solution; BOUNDED SOLUTIONS; WEAK SOLUTIONS; REGULARITY; EQUATIONS; GRADIENT;

D O I：

10.1515/acv-2023-0065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a distributional solution to a quasilinear system of degenerate equations when the datum has low integrability. The main assumption asks the off-diagonal coefficients to have support in a crossed staircase set.

引用

页码：275 / 295

页数：21

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