Parabolic approach to nonlinear elliptic eigenvalue problems

• Autores: Ki-Ahm Lee, Juan Luis Vázquez
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 219, Nº 6, 2008, págs. 2006-2028
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.07.012
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• Resumen

  • We consider the asymptotic profiles of the nonlinear parabolic flows ut=?um to show the geometric properties of the following elliptic nonlinear eigenvalue problems:

    posed in a strictly convex domain for different values of p. In the classical case p=1 we establish that log(f) is a strictly concave function, when 0