Interior regularity of conical capillary surfaces

• Autores: Dirk Schwab
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 229, Nº 2, 2007, pág. 499
• Idioma: inglés
• DOI: 10.2140/pjm.2007.229.499
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• Resumen

  • We consider capillary problems that arise physically when the equilibrium surface of a fluid with fixed volume is situated in a cone. By using a variational approach in the space of functions of bounded variation on the sphere Sn, we obtain regularity results for a certain class of relative minima of the energy functional provided the volume is large enough. This special class of relative minima can be described by radial graphs.