Gaussian Curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations

Details Gaussian Curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations Gaussian Curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations

2010-03-10

arxiv.org/abs/1003.2057v1

Mathematics

Analysis of PDEs

35pages

Scientific paper

We give a lower bound for the Gaussian curvature of convex level sets of
minimal graphs and the solutions to semilinear elliptic equations with the norm
of boundary gradient and the Gaussian curvature of the boundary.

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