Pointwise boundary differentiability on Reifenberg domains for fully nonlinear elliptic equations

In this paper, we establish the pointwise boundary differentiability on Reifenberg domains for viscosity solutions of fully nonlinear elliptic equations which extends the result under the usual C 1 , Dini condition and generalizes the result for linear equations in Huang et al (Manuscr. Math 162(3–4...

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Veröffentlicht in:	Manuscripta mathematica 2022-11, Vol.169 (3-4), p.549-563
Hauptverfasser:	Wu, Duan, Niu, Pengcheng
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Sprache:	eng
Schlagworte:	Algebraic Geometry Calculus of Variations and Optimal Control Optimization Domains Elliptic functions Geometry Lie Groups Linear equations Mathematical analysis Mathematics Mathematics and Statistics Number Theory Topological Groups
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description	In this paper, we establish the pointwise boundary differentiability on Reifenberg domains for viscosity solutions of fully nonlinear elliptic equations which extends the result under the usual C 1 , Dini condition and generalizes the result for linear equations in Huang et al (Manuscr. Math 162(3–4):305–313, 2020). Moreover, our proofs are relatively simple.
doi_str_mv	10.1007/s00229-021-01346-y
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title	Pointwise boundary differentiability on Reifenberg domains for fully nonlinear elliptic equations
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