Issue |
ESAIM: COCV
Volume 20, Number 4, October-December 2014
|
|
---|---|---|
Page(s) | 1009 - 1024 | |
DOI | https://doi.org/10.1051/cocv/2014005 | |
Published online | 13 August 2014 |
𝒞1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations
1
Dipartimento di Matematica “G. Castelnuovo”, Sapienza Università
di Roma, Piazzale Aldo Moro
5, 00185
Roma,
Italy
2
Laboratoire AGM, Université de Cergy Pontoise,
2 rue Adolphe Chauvin,
95302
Cergy Pontoise,
France
francoise.demengel@u-cergy.fr
Received:
7
March
2013
Revised:
20
December
2013
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.
Mathematics Subject Classification: 35J25 / 35J60 / 35P30
Key words: Regularity / fully nonlinear equations / simplicity of the first nonlinear eigenvalue
© EDP Sciences, SMAI, 2014
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