Global Calderón-Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations

Sun Sig Byun; Jehan Oh; Lihe Wang

doi:10.1093/imrn/rnu203

Global Calderón-Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations

Sun Sig Byun, Jehan Oh, Lihe Wang

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

28 Scopus citations

Abstract

We consider nonhomogeneous elliptic and parabolic problems involving a discontinuous nonlinearity and an asymptotic regularity over an irregular domain in divergence form of p-Laplacian type, to establish the global Calderón-Zygmund estimate by converting a given asymptotically regular problem to a suitable regular problem.

Original language	English
Pages (from-to)	8289-8308
Number of pages	20
Journal	International Mathematics Research Notices
Volume	2015
Issue number	17
DOIs	https://doi.org/10.1093/imrn/rnu203
State	Published - 2015

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title = "Global Calder{\'o}n-Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations",

abstract = "We consider nonhomogeneous elliptic and parabolic problems involving a discontinuous nonlinearity and an asymptotic regularity over an irregular domain in divergence form of p-Laplacian type, to establish the global Calder{\'o}n-Zygmund estimate by converting a given asymptotically regular problem to a suitable regular problem.",

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

note = "Publisher Copyright: {\textcopyright} 2014 The Author(s).",

year = "2015",

doi = "10.1093/imrn/rnu203",

language = "English",

volume = "2015",

pages = "8289--8308",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

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T1 - Global Calderón-Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations

AU - Byun, Sun Sig

AU - Oh, Jehan

AU - Wang, Lihe

PY - 2015

Y1 - 2015

N2 - We consider nonhomogeneous elliptic and parabolic problems involving a discontinuous nonlinearity and an asymptotic regularity over an irregular domain in divergence form of p-Laplacian type, to establish the global Calderón-Zygmund estimate by converting a given asymptotically regular problem to a suitable regular problem.

AB - We consider nonhomogeneous elliptic and parabolic problems involving a discontinuous nonlinearity and an asymptotic regularity over an irregular domain in divergence form of p-Laplacian type, to establish the global Calderón-Zygmund estimate by converting a given asymptotically regular problem to a suitable regular problem.

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U2 - 10.1093/imrn/rnu203

DO - 10.1093/imrn/rnu203

M3 - Article

AN - SCOPUS:84943538092

SN - 1073-7928

VL - 2015

SP - 8289

EP - 8308

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 17

ER -

Global Calderón-Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations

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