W2,p estimates for solutions to asymptotically elliptic equations in nondivergence form

Sun Sig Byun; Jehan Oh; Lihe Wang

doi:10.1016/j.jde.2016.02.010

W^2,p estimates for solutions to asymptotically elliptic equations in nondivergence form

Sun Sig Byun
, Jehan Oh
, Lihe Wang

Seoul National University
University of Iowa
Shanghai Jiao Tong University

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

9 Scopus citations

Abstract

We introduce asymptotically elliptic equations and establish the global W^2,p estimates for viscosity solutions to both asymptotically linear elliptic equations and asymptotically fully nonlinear elliptic equations in bounded domains. Our approach for the proof is based on an appropriate transformation which converts a given asymptotically elliptic equation to a suitable uniformly elliptic equation.

Original language	English
Pages (from-to)	7965-7981
Number of pages	17
Journal	Journal of Differential Equations
Volume	260
Issue number	11
DOIs	https://doi.org/10.1016/j.jde.2016.02.010
State	Published - 5 Jun 2016

Keywords

Asymptotically elliptic equations
Asymptotically linear equations
Fully nonlinear equations
Viscosity solutions
W estimates

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10.1016/j.jde.2016.02.010

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title = "W2,p estimates for solutions to asymptotically elliptic equations in nondivergence form",

abstract = "We introduce asymptotically elliptic equations and establish the global W2,p estimates for viscosity solutions to both asymptotically linear elliptic equations and asymptotically fully nonlinear elliptic equations in bounded domains. Our approach for the proof is based on an appropriate transformation which converts a given asymptotically elliptic equation to a suitable uniformly elliptic equation.",

keywords = "Asymptotically elliptic equations, Asymptotically linear equations, Fully nonlinear equations, Viscosity solutions, W estimates",

author = "Byun, \{Sun Sig\} and Jehan Oh and Lihe Wang",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

month = jun,

day = "5",

doi = "10.1016/j.jde.2016.02.010",

language = "English",

volume = "260",

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journal = "Journal of Differential Equations",

issn = "0022-0396",

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T1 - W2,p estimates for solutions to asymptotically elliptic equations in nondivergence form

AU - Byun, Sun Sig

AU - Oh, Jehan

AU - Wang, Lihe

PY - 2016/6/5

Y1 - 2016/6/5

N2 - We introduce asymptotically elliptic equations and establish the global W2,p estimates for viscosity solutions to both asymptotically linear elliptic equations and asymptotically fully nonlinear elliptic equations in bounded domains. Our approach for the proof is based on an appropriate transformation which converts a given asymptotically elliptic equation to a suitable uniformly elliptic equation.

AB - We introduce asymptotically elliptic equations and establish the global W2,p estimates for viscosity solutions to both asymptotically linear elliptic equations and asymptotically fully nonlinear elliptic equations in bounded domains. Our approach for the proof is based on an appropriate transformation which converts a given asymptotically elliptic equation to a suitable uniformly elliptic equation.

KW - Asymptotically elliptic equations

KW - Asymptotically linear equations

KW - Fully nonlinear equations

KW - Viscosity solutions

KW - W estimates

UR - https://www.scopus.com/pages/publications/84964318982

U2 - 10.1016/j.jde.2016.02.010

DO - 10.1016/j.jde.2016.02.010

M3 - Article

AN - SCOPUS:84964318982

SN - 0022-0396

VL - 260

SP - 7965

EP - 7981

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 11

ER -

W^2,p estimates for solutions to asymptotically elliptic equations in nondivergence form

Abstract

Keywords

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