The prescribed mean curvature equation f
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P. Amster; M.C. Mariani
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Article
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2003
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Elsevier Science
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English
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We study the prescribed mean curvature equation for nonparametric surfaces, obtaining existence and uniqueness results in the Sobolev space W 2;p . We also prove that under appropriate conditions the set of surfaces of mean curvature H is a connected subset of W 2;p . Moreover, we obtain existence r