W 1, p(·)-Regularity for Elliptic Equations with Measurable Coefficients in Nonsmooth Domains

Communications in Mathematical Physics ◽

10.1007/s00220-014-1962-8 ◽

2014 ◽

Vol 329 (3) ◽

pp. 937-958 ◽

Author(s):

Sun-Sig Byun ◽

Jihoon Ok ◽

Lihe Wang

Keyword(s):

Elliptic Equations ◽

Measurable Coefficients ◽

Nonsmooth Domains

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Weighted L p -estimates for Elliptic Equations with Measurable Coefficients in Nonsmooth Domains

Potential Analysis ◽

10.1007/s11118-013-9363-8 ◽

2013 ◽

Vol 41 (1) ◽

pp. 51-79 ◽

Author(s):

Sun-Sig Byun ◽

Dian K. Palagachev

Keyword(s):

Elliptic Equations ◽

Measurable Coefficients ◽

Nonsmooth Domains

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UNIMPROVABILITY OF ESTIMATES OF HÖLDER CONSTANTS FOR SOLUTIONS OF LINEAR ELLIPTIC EQUATIONS WITH MEASURABLE COEFFICIENTS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1988v060n01abeh003167 ◽

1988 ◽

Vol 60 (1) ◽

pp. 269-281 ◽

Author(s):

M V Safonov

Keyword(s):

Elliptic Equations ◽

Measurable Coefficients

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On the existence of smooth solutions for fully nonlinear elliptic equations with measurable “coefficients” without convexity assumptions

Methods and Applications of Analysis ◽

10.4310/maa.2012.v19.n2.a2 ◽

2012 ◽

Vol 19 (2) ◽

pp. 119-146

Author(s):

Nicolai V. Krylov

Keyword(s):

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Smooth Solutions ◽

Fully Nonlinear Elliptic Equations ◽

Fully Nonlinear ◽

Measurable Coefficients ◽

Nonlinear Elliptic ◽

Convexity Assumptions

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Calderón-Zygmund estimates for non-uniformly elliptic equations with discontinuous nonlinearities on nonsmooth domains

Journal of Differential Equations ◽

10.1016/j.jde.2021.12.023 ◽

2022 ◽

Vol 312 ◽

pp. 374-406

Author(s):

Sun-Sig Byun ◽

Minkyu Lim

Keyword(s):

Elliptic Equations ◽

Discontinuous Nonlinearities ◽

Nonsmooth Domains

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Mixed boundary value problems for nonlinear elliptic equations of second order with measurable coefficients in high dimensional domains

Complex Variables and Elliptic Equations ◽

10.1080/17476930500463887 ◽

2006 ◽

Vol 51 (3) ◽

pp. 267-276

Author(s):

Guo Chun Wen ◽

DeChang Chen

Keyword(s):

Boundary Value Problems ◽

Elliptic Equations ◽

Mixed Boundary ◽

Boundary Value ◽

Nonlinear Elliptic Equations ◽

Second Order ◽

High Dimensional ◽

Mixed Boundary Value Problems ◽

Measurable Coefficients ◽

Nonlinear Elliptic

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SOME DIFFERENTIABILITY PROPERTIES OF SOLUTIONS OF ELLIPTIC EQUATIONS WITH MEASURABLE COEFFICIENTS

Mathematics of the USSR-Izvestiya ◽

10.1070/im1986v027n03abeh001205 ◽

1986 ◽

Vol 27 (3) ◽

pp. 601-606

Author(s):

N S Nadirashvili

Keyword(s):

Elliptic Equations ◽

Measurable Coefficients ◽

Differentiability Properties

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Sharp gradient estimates for quasilinear elliptic equations with p ( x ) growth on nonsmooth domains

Journal of Functional Analysis ◽

10.1016/j.jfa.2017.10.012 ◽

2018 ◽

Vol 274 (12) ◽

pp. 3411-3469 ◽

Author(s):

Karthik Adimurthi ◽

Sun-Sig Byun ◽

Jung-Tae Park

Keyword(s):

Elliptic Equations ◽

Gradient Estimates ◽

Quasilinear Elliptic Equations ◽

Nonsmooth Domains ◽

Quasilinear Elliptic

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Gradient estimates for elliptic systems with measurable coefficients in nonsmooth domains

manuscripta mathematica ◽

10.1007/s00229-010-0373-1 ◽

2010 ◽

Vol 133 (1-2) ◽

pp. 225-245 ◽

Author(s):

Sun-Sig Byun ◽

Seungjin Ryu ◽

Lihe Wang

Keyword(s):

Elliptic Systems ◽

Gradient Estimates ◽

Measurable Coefficients ◽

Nonsmooth Domains

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Elliptic equations with measurable nonlinearities in nonsmooth domains

Advances in Mathematics ◽

10.1016/j.aim.2015.10.015 ◽

2016 ◽

Vol 288 ◽

pp. 152-200 ◽

Author(s):

Sun-Sig Byun ◽

Youchan Kim

Keyword(s):

Elliptic Equations ◽

Nonsmooth Domains

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Oblique derivative boundary value problems for nonlinear elliptic equations of second order with measurable coefficients in high dimensional domains

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2003.04.002 ◽

2005 ◽

Vol 10 (5) ◽

pp. 559-570 ◽

Author(s):

Guochun Wen ◽

Dechang Chen

Keyword(s):

Boundary Value Problems ◽

Elliptic Equations ◽

Boundary Value ◽

Nonlinear Elliptic Equations ◽

Second Order ◽

High Dimensional ◽

Measurable Coefficients ◽

Nonlinear Elliptic

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