A sharp global estimate and an overdetermined problem for Monge-Ampère type equations
Abstract: We consider Monge-Ampère type equations involving the gradient that are elliptic in the framework of convex functions. Through suitable symmetrization we find sharp estimates to solutions of such equations. An overdetermined problem related to our Monge-Ampère type operators is also considered and we show that such a problem may admit a solution only when the underlying domain is a ball.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
A sharp global estimate and an overdetermined problem for Monge-Ampère type equations ; volume:22 ; number:1 ; year:2022 ; pages:1-14 ; extent:14
Advanced nonlinear studies ; 22, Heft 1 (2022), 1-14 (gesamt 14)
- Urheber
-
Mohammed, Ahmed
Porru, Giovanni
- DOI
-
10.1515/ans-2022-0001
- URN
-
urn:nbn:de:101:1-2022071514244030198677
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
15.08.2025, 07:30 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Mohammed, Ahmed
- Porru, Giovanni
Ähnliche Objekte (12)
Rearrangements and the Monge–Ampère equations
Nonlinear analysis on manifolds, Monge-Ampère equations
Monge-Ampère equations with applications in optic design
On a Class of Linearizable Monge-Ampère Equations
A C 2, α, β estimate for complex Monge–Ampère type equations with conic sigularities
Sharp uniform bound for the quaternionic Monge-Ampère equation on hyperhermitian manifolds
Cauchy–Riemann meet Monge–Ampère
Entire Solutions of Cauchy Problem for Parabolic Monge–Ampère Equations
On Neumann problem for the degenerate Monge–Ampère type equations
Existence of convex solutions for systems of Monge-Ampère equations
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge–Ampère equations
Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator
Rearrangements and the Monge–Ampère equations
Nonlinear analysis on manifolds, Monge-Ampère equations
Monge-Ampère equations with applications in optic design
On a Class of Linearizable Monge-Ampère Equations
A C 2, α, β estimate for complex Monge–Ampère type equations with conic sigularities
Sharp uniform bound for the quaternionic Monge-Ampère equation on hyperhermitian manifolds
Cauchy–Riemann meet Monge–Ampère
Entire Solutions of Cauchy Problem for Parabolic Monge–Ampère Equations
On Neumann problem for the degenerate Monge–Ampère type equations
Existence of convex solutions for systems of Monge-Ampère equations
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge–Ampère equations
Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator
Rearrangements and the Monge–Ampère equations
Nonlinear analysis on manifolds, Monge-Ampère equations
Monge-Ampère equations with applications in optic design
On a Class of Linearizable Monge-Ampère Equations
A C 2, α, β estimate for complex Monge–Ampère type equations with conic sigularities
Sharp uniform bound for the quaternionic Monge-Ampère equation on hyperhermitian manifolds
Cauchy–Riemann meet Monge–Ampère
Entire Solutions of Cauchy Problem for Parabolic Monge–Ampère Equations
On Neumann problem for the degenerate Monge–Ampère type equations
Existence of convex solutions for systems of Monge-Ampère equations
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge–Ampère equations