An H -system for a revolution surface without boundary

P. Amster, P. De Nápoli and M. C. Mariani

Abstract and Applied Analysis, 2006, vol. 2006, 1-10

Abstract:

We study the existence of solutions an H -system for a revolution surface without boundary for H depending on the radius f . Under suitable conditions we prove that the existence of a solution is equivalent to the solvability of a scalar equation N ( a ) = L / 2 , where N : 𝒜 ⊂ â„ + → â„ is a function depending on H . Moreover, using the method of upper and lower solutions we prove existence results for some particular examples. In particular, applying a diagonal argument we prove the existence of unbounded surfaces with prescribed H .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:093163

DOI: 10.1155/AAA/2006/93163

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