Superharmonicity of nonlinear ground states

• Autores: Juan José Manfredi , Eero Saksman , Peter Lindqvist
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 16, Nº 1, 2000, págs. 17-28
• Idioma: inglés
• DOI: 10.4171/rmi/269
• Títulos paralelos:
  • Superarmonicidad de estados fundamentales no lineales
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• Resumen

  • The objective of our note is to prove that, at least for a convex domain, the ground state of the p-Laplacian operator ?pu = div (|Ñu|p-2 Ñu) is a superharmonic function, provided that 2 = p = 8. The ground state of ?p is the positive solution with boundary values zero of the equation div(|Ñu|p-2 Ñu) + ? |u|p-2 u = 0 in the bounded domain O in the n-dimensional Euclidean space.