Journal article
W-2,W-p estimates for solutions to asymptotically elliptic equations in nondivergence form
Journal of Differential Equations, Vol.260(11), pp.7965-7981
06/05/2016
DOI: 10.1016/j.jde.2016.02.010
Abstract
We introduce asymptotically elliptic equations and establish the global W-2,W-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. (C) 2016 Elsevier Inc. All rights reserved.
Details
- Title: Subtitle
- W-2,W-p estimates for solutions to asymptotically elliptic equations in nondivergence form
- Creators
- Sun-Sig Byun - Seoul National UniversityJehan Oh - Seoul National UniversityLihe Wang - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of Differential Equations, Vol.260(11), pp.7965-7981
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- DOI
- 10.1016/j.jde.2016.02.010
- ISSN
- 0022-0396
- eISSN
- 1090-2732
- Number of pages
- 17
- Grant note
- NRF-2014K2A2A2000796; NRF-2015R1A4A1041675 / National Research Foundation of Korea (NRF) grant - Korea Government
- Language
- English
- Date published
- 06/05/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9984240774802771
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