We study the problem of existence of surfaces in ℝ^3 parametrized on the sphere S^2 with prescribed mean curvature H in the perturbative case, i.e. for H = H0 + εH1, where H0 is a nonzero constant, H1 is a C^2 function and ε is a small perturbation parameter.
Felli, V. (2005). A note on the existence of H-bubbles via perturbation methods. REVISTA MATEMATICA IBEROAMERICANA, 21(1), 163-178 [10.4171/RMI/419].
A note on the existence of H-bubbles via perturbation methods
FELLI, VERONICA
2005
Abstract
We study the problem of existence of surfaces in ℝ^3 parametrized on the sphere S^2 with prescribed mean curvature H in the perturbative case, i.e. for H = H0 + εH1, where H0 is a nonzero constant, H1 is a C^2 function and ε is a small perturbation parameter.
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