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Volume 31, Issue 1
Derivative Estimates for the Solution of Hyperbolic Affine Sphere Equation

Yadong Wu

Commun. Math. Res., 31 (2015), pp. 62-70.

Published online: 2021-05

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  • Abstract

Considering the hyperbolic affine sphere equation in a smooth strictly convex bounded domain with zero boundary values, the sharp derivative estimates of any order for its convex solution are obtained.

  • AMS Subject Headings

53A15, 35J65

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COPYRIGHT: © Global Science Press

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@Article{CMR-31-62, author = {Wu , Yadong}, title = {Derivative Estimates for the Solution of Hyperbolic Affine Sphere Equation}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {1}, pages = {62--70}, abstract = {

Considering the hyperbolic affine sphere equation in a smooth strictly convex bounded domain with zero boundary values, the sharp derivative estimates of any order for its convex solution are obtained.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.01.07}, url = {http://global-sci.org/intro/article_detail/cmr/18948.html} }
TY - JOUR T1 - Derivative Estimates for the Solution of Hyperbolic Affine Sphere Equation AU - Wu , Yadong JO - Communications in Mathematical Research VL - 1 SP - 62 EP - 70 PY - 2021 DA - 2021/05 SN - 31 DO - http://doi.org/10.13447/j.1674-5647.2015.01.07 UR - https://global-sci.org/intro/article_detail/cmr/18948.html KW - hyperbolic affine sphere, Monge-Ampère equation, derivative estimate. AB -

Considering the hyperbolic affine sphere equation in a smooth strictly convex bounded domain with zero boundary values, the sharp derivative estimates of any order for its convex solution are obtained.

Wu , Yadong. (2021). Derivative Estimates for the Solution of Hyperbolic Affine Sphere Equation. Communications in Mathematical Research . 31 (1). 62-70. doi:10.13447/j.1674-5647.2015.01.07
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