On W2,p -estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions

Sun Sig Byun; Jeongmin Han; Jehan Oh

doi:10.1007/s00526-022-02259-8

On W²^,^p -estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions

Sun Sig Byun
, Jeongmin Han
, Jehan Oh

Seoul National University
University of Jyväskylä

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

7 Scopus citations

Abstract

This paper concerns fully nonlinear elliptic obstacle problems with oblique boundary conditions. We investigate the existence, uniqueness and W²^,^p-regularity results by finding approximate non-obstacle problems with the same oblique boundary condition and then making a suitable limiting process.

Original language	English
Article number	162
Journal	Calculus of Variations and Partial Differential Equations
Volume	61
Issue number	5
DOIs	https://doi.org/10.1007/s00526-022-02259-8
State	Published - Oct 2022

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title = "On W2,p -estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions",

abstract = "This paper concerns fully nonlinear elliptic obstacle problems with oblique boundary conditions. We investigate the existence, uniqueness and W2,p-regularity results by finding approximate non-obstacle problems with the same oblique boundary condition and then making a suitable limiting process.",

author = "Byun, \{Sun Sig\} and Jeongmin Han and Jehan Oh",

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doi = "10.1007/s00526-022-02259-8",

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T1 - On W2,p -estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions

AU - Byun, Sun Sig

AU - Han, Jeongmin

AU - Oh, Jehan

PY - 2022/10

Y1 - 2022/10

N2 - This paper concerns fully nonlinear elliptic obstacle problems with oblique boundary conditions. We investigate the existence, uniqueness and W2,p-regularity results by finding approximate non-obstacle problems with the same oblique boundary condition and then making a suitable limiting process.

AB - This paper concerns fully nonlinear elliptic obstacle problems with oblique boundary conditions. We investigate the existence, uniqueness and W2,p-regularity results by finding approximate non-obstacle problems with the same oblique boundary condition and then making a suitable limiting process.

UR - https://www.scopus.com/pages/publications/85132137905

U2 - 10.1007/s00526-022-02259-8

DO - 10.1007/s00526-022-02259-8

M3 - Article

AN - SCOPUS:85132137905

SN - 0944-2669

VL - 61

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 5

M1 - 162

ER -

On W²^,^p -estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions

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