Gevrey regularity of subelliptic Monge-Ampère equations in the plane
(2011) In Advances in Mathematics 228(3). p.1816-1841- Abstract
- In this paper, we establish the Gevrey regularity of solutions for a class of degenerate Monge–Ampère equations in the plane. Under the assumptions that one principal entry of the Hessian is strictly positive and the coefficient of the equation is degenerate with appropriately finite type degeneracy, we prove that the solution of the degenerate Monge–Ampère equation will be smooth in Gevrey classes.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1749017
- author
- Chen, Hua ; Li, Wei-Xi LU and Xu, Chao-Jiang
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- subellipticity, Gevrey regularity, Monge-Amp`ere equations
- in
- Advances in Mathematics
- volume
- 228
- issue
- 3
- pages
- 1816 - 1841
- publisher
- Elsevier
- external identifiers
-
- scopus:80051561977
- ISSN
- 0001-8708
- DOI
- 10.1016/j.aim.2011.06.037
- language
- English
- LU publication?
- yes
- id
- b7b81895-88f1-4bf4-9e0a-58d890e2363d (old id 1749017)
- date added to LUP
- 2016-04-01 09:56:39
- date last changed
- 2022-01-25 18:09:46
@article{b7b81895-88f1-4bf4-9e0a-58d890e2363d, abstract = {{In this paper, we establish the Gevrey regularity of solutions for a class of degenerate Monge–Ampère equations in the plane. Under the assumptions that one principal entry of the Hessian is strictly positive and the coefficient of the equation is degenerate with appropriately finite type degeneracy, we prove that the solution of the degenerate Monge–Ampère equation will be smooth in Gevrey classes.}}, author = {{Chen, Hua and Li, Wei-Xi and Xu, Chao-Jiang}}, issn = {{0001-8708}}, keywords = {{subellipticity; Gevrey regularity; Monge-Amp`ere equations}}, language = {{eng}}, number = {{3}}, pages = {{1816--1841}}, publisher = {{Elsevier}}, series = {{Advances in Mathematics}}, title = {{Gevrey regularity of subelliptic Monge-Ampère equations in the plane}}, url = {{http://dx.doi.org/10.1016/j.aim.2011.06.037}}, doi = {{10.1016/j.aim.2011.06.037}}, volume = {{228}}, year = {{2011}}, }