𝒞1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations

I. Birindelli; F. Demengel

ESAIM: Control, Optimisation and Calculus of Variations (2014)

  • Volume: 20, Issue: 4, page 1009-1024
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Birindelli, I., and Demengel, F.. "&#x1d49e;1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations." ESAIM: Control, Optimisation and Calculus of Variations 20.4 (2014): 1009-1024. <http://eudml.org/doc/272869>.

@article{Birindelli2014,
abstract = {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.},
author = {Birindelli, I., Demengel, F.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {regularity; fully nonlinear equations; simplicity of the first nonlinear eigenvalue},
language = {eng},
number = {4},
pages = {1009-1024},
publisher = {EDP-Sciences},
title = {&#x1d49e;1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations},
url = {http://eudml.org/doc/272869},
volume = {20},
year = {2014},
}

TY - JOUR
AU - Birindelli, I.
AU - Demengel, F.
TI - &#x1d49e;1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2014
PB - EDP-Sciences
VL - 20
IS - 4
SP - 1009
EP - 1024
AB - 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.
LA - eng
KW - regularity; fully nonlinear equations; simplicity of the first nonlinear eigenvalue
UR - http://eudml.org/doc/272869
ER -

References

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