Global Higher Integrability of the Gradient of Weak Solutions of a Quasilinear Elliptic Equation

Abdeslem Lyaghfouri

doi:10.1007/s00009-022-02095-2

Global Higher Integrability of the Gradient of Weak Solutions of a Quasilinear Elliptic Equation

Abdeslem Lyaghfouri

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we establish global higher integrability of the gradient of the solution of the quasilinear elliptic equation ΔAu=div(a(|F|)|F|F) in Rⁿ, where Δ _A is the so called A-Laplace operator.

Original language	English
Article number	178
Journal	Mediterranean Journal of Mathematics
Volume	19
Issue number	4
DOIs	https://doi.org/10.1007/s00009-022-02095-2
Publication status	Published - Aug 2022

Keywords

A-Laplace operator
gradient higher integrability
Orlicz–Sobolev space

ASJC Scopus subject areas

General Mathematics

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10.1007/s00009-022-02095-2

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title = "Global Higher Integrability of the Gradient of Weak Solutions of a Quasilinear Elliptic Equation",

abstract = "In this paper, we establish global higher integrability of the gradient of the solution of the quasilinear elliptic equation ΔAu=div(a(|F|)|F|F) in Rn, where Δ A is the so called A-Laplace operator.",

keywords = "A-Laplace operator, gradient higher integrability, Orlicz–Sobolev space",

author = "Abdeslem Lyaghfouri",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2022",

month = aug,

doi = "10.1007/s00009-022-02095-2",

language = "English",

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journal = "Mediterranean Journal of Mathematics",

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AB - In this paper, we establish global higher integrability of the gradient of the solution of the quasilinear elliptic equation ΔAu=div(a(|F|)|F|F) in Rn, where Δ A is the so called A-Laplace operator.

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KW - gradient higher integrability

KW - Orlicz–Sobolev space

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JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

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Global Higher Integrability of the Gradient of Weak Solutions of a Quasilinear Elliptic Equation

Abstract

Keywords

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