Abstract
Several questions of mathematical and physical interest lead to the consideration of an “energy functional” of the following type:
where S is the surface bounding the region V of n-space and H is a given summable function. In the following, we shall be concerned with a problem of this type, representing in a sense a simplified physical situation, and investigate some basic properties of its solutions. The results we obtain may serve both as an illustration of the use of certain variational techniques and as an instance of results that could be obtained, under appropriate conditions, in more general cases.
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© 1987 Springer-Verlag New York Inc.
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Tamanini, I. (1987). Interfaces of Prescribed Mean Curvature. In: Concus, P., Finn, R. (eds) Variational Methods for Free Surface Interfaces. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4656-5_10
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DOI: https://doi.org/10.1007/978-1-4612-4656-5_10
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