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An H -system for a revolution surface without boundary

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  • P. Amster
  • P. De Nápoli
  • M. C. Mariani

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 .

Suggested Citation

  • P. Amster & P. De Nápoli & M. C. Mariani, 2006. "An H -system for a revolution surface without boundary," Abstract and Applied Analysis, Hindawi, vol. 2006, pages 1-10, March.
    • Handle: RePEc:hin:jnlaaa:093163
    DOI: 10.1155/AAA/2006/93163
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