We study existence of solutions of H-systems on the two-dimensional disc with prescribed boundary datum $\gamma\in H^{1/2}(\partial D,\mathbb{R}^{3})$ and $H\colon\mathbb{R}^{3}\to\mathbb{R}$ is bounded, continuous and belongs to $L^p (\mathbb{R}^{3})$ for some $p\in[3,\infty]$.
On the Dirichlet problem for H-systems on the disc with prescribed mean curvature
CALDIROLI, Paolo;
2005-01-01
Abstract
We study existence of solutions of H-systems on the two-dimensional disc with prescribed boundary datum $\gamma\in H^{1/2}(\partial D,\mathbb{R}^{3})$ and $H\colon\mathbb{R}^{3}\to\mathbb{R}$ is bounded, continuous and belongs to $L^p (\mathbb{R}^{3})$ for some $p\in[3,\infty]$.
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