Gevrey regularity of subelliptic Monge–Ampère equations in the plane
Copyright policy )Gevrey regularity of subelliptic Monge–Ampère equations in the plane
In this paper, we establish the Gevrey regularity of solutions for a class of degenerate Monge-Amp��re equations in the plane, under the assumption that one principle entry of the Hessian is strictly positive and an appropriately finite type degeneracy.
22 pages
- Wuhan University China (People's Republic of)
- French National Centre for Scientific Research France
- University of Rouen France
- UNIVERSITE DE ROUEN France
- Normandie Université France
finite type degeneracy, Mathematics(all), 35B65, Gevrey classes, Subellipticity, Smoothness and regularity of solutions to PDEs, Gevrey regularity, Subelliptic equations, Monge–Ampère equations, 35H20, Monge-Ampère equations, Mathematics - Analysis of PDEs, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 35B65, 35H20, subellipticity, Analysis of PDEs (math.AP)
finite type degeneracy, Mathematics(all), 35B65, Gevrey classes, Subellipticity, Smoothness and regularity of solutions to PDEs, Gevrey regularity, Subelliptic equations, Monge–Ampère equations, 35H20, Monge-Ampère equations, Mathematics - Analysis of PDEs, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 35B65, 35H20, subellipticity, Analysis of PDEs (math.AP)
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