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On a fourth order Steklov eigenvalue problem
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Alberto Ferrero
Published/Copyright:
September 25, 2009
Summary
We study the spectrum of a biharmonic Steklov eigenvalue problem in a bounded domain of Rn. We characterize it in general and give its explicit form in the case where the domain is a ball. Then, we focus our attention on the first eigenvalue of this problem. We prove some estimates and study its isoperimetric properties. By recalling a number of known results, we finally highlight the main open problems still to be solved.
Published Online: 2009-09-25
Published in Print: 2005-12-01
© Oldenbourg Wissenschaftsverlag GmbH
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- Inequalities for the hyperbolic tangent
- Analytic integrals and Poincaré's centre problem
- Generalized partition functions and subgroup growth of free products of nilpotent groups
- Uniqueness polynomials for entire curves into complex projective space
- On a fourth order Steklov eigenvalue problem
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Articles in the same Issue
- Inequalities for the hyperbolic tangent
- Analytic integrals and Poincaré's centre problem
- Generalized partition functions and subgroup growth of free products of nilpotent groups
- Uniqueness polynomials for entire curves into complex projective space
- On a fourth order Steklov eigenvalue problem
- Conformal measures for non-entire functions with critical values eventually mapped onto infinity
