We present some estimates for positive viscosity solutions of a class of fully non-linear elliptic equations including the extremal Pucci equations, generalizing some results for linear equations recently established by Y.Y. Li and L. Nirenberg.
Le but de cette Note est de donner des estimations pour les solutions de viscosité non négatives d'une classe d'équations complètement non linéaires comprenante les équations extrémales de Pucci, en généralisant ainsi des résultats récents dues à Y.Y. Li et L. Nirenberg.
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Italo Capuzzo Dolcetta 1; Antonio Vitolo 2
@article{CRMATH_2008__346_9-10_527_0, author = {Italo Capuzzo Dolcetta and Antonio Vitolo}, title = {Gradient and {H\"older} estimates for positive solutions of {Pucci} type equations}, journal = {Comptes Rendus. Math\'ematique}, pages = {527--532}, publisher = {Elsevier}, volume = {346}, number = {9-10}, year = {2008}, doi = {10.1016/j.crma.2008.03.004}, language = {en}, }
TY - JOUR AU - Italo Capuzzo Dolcetta AU - Antonio Vitolo TI - Gradient and Hölder estimates for positive solutions of Pucci type equations JO - Comptes Rendus. Mathématique PY - 2008 SP - 527 EP - 532 VL - 346 IS - 9-10 PB - Elsevier DO - 10.1016/j.crma.2008.03.004 LA - en ID - CRMATH_2008__346_9-10_527_0 ER -
Italo Capuzzo Dolcetta; Antonio Vitolo. Gradient and Hölder estimates for positive solutions of Pucci type equations. Comptes Rendus. Mathématique, Volume 346 (2008) no. 9-10, pp. 527-532. doi : 10.1016/j.crma.2008.03.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.03.004/
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