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

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초록

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

키워드

DERIVATIVE PROBLEMS; REGULARITY
제목
On W2,p-estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions
저자
Byun, Sun-Sig; Han, Jeongmin; Oh, Jehan
DOI
10.1007/s00526-022-02259-8
발행일
2022-10
유형
Article
저널명
Calculus of Variations and Partial Differential Equations
권
61
호
5