Gaussian Curvature Estimates for the Convex Level Sets of Solutions for Some Nonlinear Elliptic Partial Differential Equations
Year: 2012
Author: Peihe Wang, Wei Zhang
Journal of Partial Differential Equations, Vol. 25 (2012), Iss. 3 : pp. 239–275
Abstract
We give lower bound estimates for the Gaussian curvature of convex level sets of minimal surfaces and the solutions to semilinear elliptic equations in terms of the norm of boundary gradient and the Gaussian curvature of the boundary.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v25.n3.4
Journal of Partial Differential Equations, Vol. 25 (2012), Iss. 3 : pp. 239–275
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 37
Keywords: Gaussian curvature estimates
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