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.
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},
year = {2014},
publisher = {EDP Sciences},
volume = {20},
number = {4},
doi = {10.1051/cocv/2014005},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv/2014005/}
}
TY - JOUR
AU - Birindelli, I.
AU - Demengel, F.
TI - $\mathcal {C}^{1,\beta }$ regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2014
SP - 1009
EP - 1024
VL - 20
IS - 4
PB - EDP Sciences
UR - https://www.numdam.org/articles/10.1051/cocv/2014005/
DO - 10.1051/cocv/2014005
LA - en
ID - COCV_2014__20_4_1009_0
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%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2014
%P 1009-1024
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%I EDP Sciences
%U https://www.numdam.org/articles/10.1051/cocv/2014005/
%R 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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