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

Sun-Sig Byun; Jehan Oh; Lihe Wang

doi:10.1093/imrn/rnu203

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

Journal article

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

Sun-Sig Byun, Jehan Oh and Lihe Wang

International mathematics research notices, Vol.2015(17), pp.8289-8308

2015

DOI: 10.1093/imrn/rnu203

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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.

Details

Title: Subtitle: Global Calderón–Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations
Creators: Sun-Sig Byun
Jehan Oh
Lihe Wang
Resource Type: Journal article
Publication Details: International mathematics research notices, Vol.2015(17), pp.8289-8308
DOI: 10.1093/imrn/rnu203
ISSN: 1073-7928
eISSN: 1687-0247
Language: English
Date published: 2015
Academic Unit: Mathematics
Record Identifier: 9984083230702771

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