On $$W^{2,p}$$-estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions-Reference-Cited by-同舟云学术

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

Published:2022-06-22 Issue:5 Volume:61 Page:
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Byun Sun-Sig,Han Jeongmin,Oh Jehan

Abstract

AbstractThis paper concerns fully nonlinear elliptic obstacle problems with oblique boundary conditions. We investigate the existence, uniqueness and

$$W^{2,p}$$

W 2 , p -regularity results by finding approximate non-obstacle problems with the same oblique boundary condition and then making a suitable limiting process.

Funder

National Research Foundation of Korea

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00526-022-02259-8.pdf

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