Geodesic
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

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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
Keywords: regularity, fully nonlinear equations, simplicity of the first nonlinear eigenvalue 
@article{COCV_2014__20_4_1009_0,
     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},
     volume = {20},
     number = {4},
     year = {2014},
     doi = {10.1051/cocv/2014005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/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

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