Nous étudions la continuité de Hölder des solutions des équations de Monge-Ampère sur des variétés Kählériennes compactes. T. C. Dinh, V.A. Nguyen et N. Sibony ont prouvé que est modéré si est Hölder-continue. Nous démontrons dans quelques cas la réciproque de ce résultat.
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 is moderate if is Hölder continuous. We prove a theorem which is a partial converse to this result.
@article{AIF_2010__60_5_1857_0, author = {Hiep, Pham Hoang}, title = {H\"older continuity of solutions to the Monge-Amp\`ere equations on compact K\"ahler manifolds}, journal = {Annales de l'Institut Fourier}, volume = {60}, year = {2010}, pages = {1857-1869}, doi = {10.5802/aif.2574}, zbl = {1208.32033}, mrnumber = {2766232}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_2010__60_5_1857_0} }
Hiep, Pham Hoang. Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds. Annales de l'Institut Fourier, Tome 60 (2010) pp. 1857-1869. doi : 10.5802/aif.2574. http://gdmltest.u-ga.fr/item/AIF_2010__60_5_1857_0/
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