𝒞 1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations
ESAIM: Control, Optimisation and Calculus of Variations, Tome 20 (2014) no. 4, pp. 1009-1024.

We prove Hölder regularity of the gradient, up to the boundary for solutions of some fully-nonlinear, degenerate elliptic equations, with degeneracy coming from the gradient.

DOI : 10.1051/cocv/2014005
Classification : 35J25, 35J60, 35P30
Mots-clés : regularity, fully nonlinear equations, simplicity of the first nonlinear eigenvalue 
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     author = {Birindelli, I. and Demengel, F.},
     title = {$\mathcal {C}^{1,\beta }$ regularity for {Dirichlet} problems associated to fully nonlinear degenerate elliptic equations},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1009--1024},
     publisher = {EDP-Sciences},
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     doi = {10.1051/cocv/2014005},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/cocv/2014005/}
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Birindelli, I.; Demengel, F. $\mathcal {C}^{1,\beta }$ regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 20 (2014) no. 4, pp. 1009-1024. doi : 10.1051/cocv/2014005. http://archive.numdam.org/articles/10.1051/cocv/2014005/

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