Growth Property for the Minimal Surface Equation in Unbounded Domains
Copyright policy )Growth Property for the Minimal Surface Equation in Unbounded Domains
Here we prove that if u satisfies the minimal surface equation in an unbounded domain Ω \Omega which is properly contained in a half plane, then the growth rate of u is of the same order as the shape of Ω \Omega and u | ∂ Ω u{|_{\partial \Omega }} .
minimal surface equation, Minimal surfaces and optimization, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, Phragmén-Lindelöf type theorems
minimal surface equation, Minimal surfaces and optimization, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, Phragmén-Lindelöf type theorems
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