arXiv Analytics

Sign in

arXiv:1311.3334 [math.AP]AbstractReferencesReviewsResources

On the growth of solutions to the minimal surface equation over domains containing a halfplane

Erik Lundberg, Allen Weitsman

Published 2013-11-13Version 1

We consider minimal graphs u(x,y)>0 over unbounded domains D (with u vanishing on the boundary of D). Assuming D contains a sector properly containing a halfplane, we obtain estimates on growth and provide examples illustrating a range of growth.

Comments: 11 pages, one figure
Categories: math.AP, math.CV, math.DG
Subjects: 49Q05
Related articles: Most relevant | Search more
arXiv:1009.3115 [math.AP] (Published 2010-09-16)
Existence of translating solutions to the flow by powers of mean curvature on unbounded domains
arXiv:1601.01096 [math.AP] (Published 2016-01-06)
Global Existence for the Minimal Surface Equation on $\mathbb{R}^{1,1}$
arXiv:1905.06493 [math.AP] (Published 2019-05-16)
Maximum principles and monotonicity of solutions for fractional p-equations in unbounded domains

Links

Toolbox