A Stability Criterion for Extremals of Elliptic Parametric Functionals
نویسنده
چکیده
In this paper we consider parametric integrals F with elliptic integrands depending on the surface normal. The main result is a stability criterion for F-extremal immersions, containing the result of Barbosa and do Carmo [1] as a special case. Using similar techniques we are also able to show a condition for instability. The last section contains a simple proof of the fact that the surface normal of F-extremals is topologically equivalent to a holomorphic function. AMS Classification: 35J50, 49Q10, 53C42
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تاریخ انتشار 2002