TY - JOUR
T1 - Gaussian Curvature Estimates for the Convex Level Sets of Solutions for Some Nonlinear Elliptic Partial Differential Equations
AU - Wang , Peihe
AU - Zhang , Wei
JO - Journal of Partial Differential Equations
VL - 3
SP - 239
EP - 275
PY - 2012
DA - 2012/09
SN - 25
DO - http://doi.org/10.4208/jpde.v25.n3.4
UR - https://global-sci.org/intro/article_detail/jpde/5186.html
KW - Gaussian curvature estimates
KW - convex level sets
KW - minimal surface
KW - semilinear elliptic equation
KW - maximum principle
AB - <p>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.</p>