Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent

Yuzhou Fang; Vicenţiu D. Rădulescu; Chao Zhang

doi:10.1112/blms.12550

Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent

Yuzhou Fang
, Vicenţiu D. Rădulescu^*
, Chao Zhang

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology
AGH University of Krakow
University of Craiova

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

20 Scopus citations

Abstract

We consider the fully nonlinear equation with variable-exponent double phase type degeneracies (Formula presented.) Under some appropriate assumptions, by making use of geometric tangential methods and combing a refined improvement-of-flatness approach with compactness and scaling techniques, we obtain the sharp local (Formula presented.) regularity of viscosity solutions to such equations.

Original language	English
Pages (from-to)	1863-1878
Number of pages	16
Journal	Bulletin of the London Mathematical Society
Volume	53
Issue number	6
DOIs	https://doi.org/10.1112/blms.12550
State	Published - Dec 2021
Externally published	Yes

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10.1112/blms.12550

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title = "Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent",

abstract = "We consider the fully nonlinear equation with variable-exponent double phase type degeneracies (Formula presented.) Under some appropriate assumptions, by making use of geometric tangential methods and combing a refined improvement-of-flatness approach with compactness and scaling techniques, we obtain the sharp local (Formula presented.) regularity of viscosity solutions to such equations.",

author = "Yuzhou Fang and R{\u a}dulescu, \{Vicen{\c t}iu D.\} and Chao Zhang",

note = "Publisher Copyright: {\textcopyright} 2021 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",

year = "2021",

month = dec,

doi = "10.1112/blms.12550",

language = "英语",

volume = "53",

pages = "1863--1878",

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T1 - Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent

AU - Fang, Yuzhou

AU - Rădulescu, Vicenţiu D.

AU - Zhang, Chao

PY - 2021/12

Y1 - 2021/12

N2 - We consider the fully nonlinear equation with variable-exponent double phase type degeneracies (Formula presented.) Under some appropriate assumptions, by making use of geometric tangential methods and combing a refined improvement-of-flatness approach with compactness and scaling techniques, we obtain the sharp local (Formula presented.) regularity of viscosity solutions to such equations.

AB - We consider the fully nonlinear equation with variable-exponent double phase type degeneracies (Formula presented.) Under some appropriate assumptions, by making use of geometric tangential methods and combing a refined improvement-of-flatness approach with compactness and scaling techniques, we obtain the sharp local (Formula presented.) regularity of viscosity solutions to such equations.

UR - https://www.scopus.com/pages/publications/85117951088

U2 - 10.1112/blms.12550

DO - 10.1112/blms.12550

M3 - 文章

AN - SCOPUS:85117951088

SN - 0024-6093

VL - 53

SP - 1863

EP - 1878

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 6

ER -

Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent

Abstract

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