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arXiv · 2012.07442

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

Sun-Sig Byun·Jeongmin Han·Jehan Oh
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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.

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Sun-Sig Byun, Jeongmin Han, Jehan Oh. 2020-12-14. On $W^{2,p}$-estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions. https://arxiv.org/abs/2012.07442

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