Given a C^1 function H: ℝ^3 → ℝ, we look for H-bubbles, i.e., surfaces in ℝ^3 parametrized by the sphere S^2 with mean curvature H at every regular point. Here we study the case H(u)=H_0(u)+∈H_1(u) where H_0 is some "good" curvature (for which there exist H_ 0-bubbles with minimal energy, uniformly bounded in L^∞), ∈ is the smallness parameter, and H_1 is any C^1 function
Existence of H-bubbles in a perturbative setting
Musina, Roberta
2004-01-01
Abstract
Given a C^1 function H: ℝ^3 → ℝ, we look for H-bubbles, i.e., surfaces in ℝ^3 parametrized by the sphere S^2 with mean curvature H at every regular point. Here we study the case H(u)=H_0(u)+∈H_1(u) where H_0 is some "good" curvature (for which there exist H_ 0-bubbles with minimal energy, uniformly bounded in L^∞), ∈ is the smallness parameter, and H_1 is any C^1 functionFile in questo prodotto:
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