On W^2,p-estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions

2020/12/14 by Sun‐Sig Byun, Byun, Sun-Sig, Jeongmin Han +3 · 1 citation
Mathematics · #35J60 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Primary: 35J25 #Secondary: 35J15

paper · pdf · doi:10.48550/arxiv.2012.07442

openalex publication_date 2020/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper concerns fully nonlinear elliptic obstacle problems with oblique boundary conditions. We investigate the existence, uniqueness and W^2,p-regularity results by finding approximate non-obstacle problems with the same oblique boundary condition and then making a suitable limiting process.

Cited by

• Weighted Orlicz-Sobolev and variable exponent Morrey regularity for fully nonlinear parabolic PDEs with oblique boundary conditions and applications

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