An extension to a Liouville theorem on degenerate Monge–Ampère equations in half spaces
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DOI: 10.1002/mana.70030
Abstract: In this paper, we investigate the asymptotic behavior as infinity of a class of degenerate Monge–Ampère equations in half spaces. Meanwhile, we establish the Schauder estimates on a class of degenerate linear elliptic equations. read more here.
Keywords: degenerate monge; degenerate; monge amp; half spaces ... See more keywords
A multigrid scheme for 3D Monge–Ampère equations*
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DOI: 10.1080/00207160.2016.1247443
Abstract: ABSTRACT The elliptic Monge–Ampère equation is a fully nonlinear partial differential equation which has been the focus of increasing attention from the scientific computing community. Fast three-dimensional solvers are needed, for example in medical image… read more here.
Keywords: equation; amp equations; monge; scheme monge ... See more keywords
Overdetermined problems for p-Laplace and generalized Monge–Ampére equations
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DOI: 10.1080/17476933.2020.1843447
Abstract: We investigate overdetermined problems for p-Laplace and generalized Monge–Ampére equations. By using the theory of domain derivative, we find duality results and characterization of the overdetermined boundary conditions via minimization of suitable functionals with respect… read more here.
Keywords: monge amp; laplace generalized; generalized monge; problems laplace ... See more keywords