Let H:^3→ ℝ be a C^1 mapping such that H(p)→H_∞>0 as |p|→∞. We show that when H satisfies some global conditions then there exists an H-bubble, namely a sphere S in R^3 such that the mean curvature of S at any regular point p∈S equals H(p)
Bubbles with prescribed mean curvature: The variational approach
CALDIROLI, Paolo;MUSINA, Roberta
2011-01-01
Abstract
Let H:^3→ ℝ be a C^1 mapping such that H(p)→H_∞>0 as |p|→∞. We show that when H satisfies some global conditions then there exists an H-bubble, namely a sphere S in R^3 such that the mean curvature of S at any regular point p∈S equals H(p)File in questo prodotto:
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