A symmetry problem in the calculus of variations

• Autores: Graziano Crasta
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 8, Nº 1, 2006, págs. 139-154
• Idioma: inglés
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• Resumen

  • We consider a class of integral functionals defined in a Sobolev space of functions vanishing at the boundary of a nonempty bounded connected open n-dimensional set. We prove that, if the functional admits a minimizer depending only on the distance from the boundary, then that set must be a ball.