AN H-SYSTEM FOR A REVOLUTION SURFACE WITHOUT BOUNDARY

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 : ⊂ ℝ + → ℝ is a function d...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2006-01, Vol.2006, p.325-334
Main Authors: Amster, P, Napoli, P De, Mariani, M C
Format: Article
Language:English
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Summary: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 : ⊂ ℝ + → ℝ 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 .
ISSN:1085-3375
1687-0409
DOI:10.1155/AAA/2006/93163