Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds

Pham Hoang Hiep[1]

  • [1] University of Education (Dai hoc Su Pham Ha Noi) Department of Mathematics CauGiay, Hanoi (Vietnam)

Annales de l’institut Fourier (2010)

  • Volume: 60, Issue: 5, page 1857-1869
  • ISSN: 0373-0956

Abstract

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We study Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds. T. C. Dinh, V.A. Nguyen and N. Sibony have shown that the measure ω u n is moderate if u is Hölder continuous. We prove a theorem which is a partial converse to this result.

How to cite

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Hiep, Pham Hoang. "Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds." Annales de l’institut Fourier 60.5 (2010): 1857-1869. <http://eudml.org/doc/116323>.

@article{Hiep2010,
abstract = {We study Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds. T. C. Dinh, V.A. Nguyen and N. Sibony have shown that the measure $\omega _u^n$ is moderate if $u$ is Hölder continuous. We prove a theorem which is a partial converse to this result.},
affiliation = {University of Education (Dai hoc Su Pham Ha Noi) Department of Mathematics CauGiay, Hanoi (Vietnam)},
author = {Hiep, Pham Hoang},
journal = {Annales de l’institut Fourier},
keywords = {Hölder continuity; complex Monge-Ampère operator; $\omega $-plurisubharmonic functions; compact Kähler manifolds; -plurisubharmonic functions},
language = {eng},
number = {5},
pages = {1857-1869},
publisher = {Association des Annales de l’institut Fourier},
title = {Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds},
url = {http://eudml.org/doc/116323},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Hiep, Pham Hoang
TI - Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds
JO - Annales de l’institut Fourier
PY - 2010
PB - Association des Annales de l’institut Fourier
VL - 60
IS - 5
SP - 1857
EP - 1869
AB - We study Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds. T. C. Dinh, V.A. Nguyen and N. Sibony have shown that the measure $\omega _u^n$ is moderate if $u$ is Hölder continuous. We prove a theorem which is a partial converse to this result.
LA - eng
KW - Hölder continuity; complex Monge-Ampère operator; $\omega $-plurisubharmonic functions; compact Kähler manifolds; -plurisubharmonic functions
UR - http://eudml.org/doc/116323
ER -

References

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