In the family of n-dimensional convex bodies, we prove a Brunn-Minkowski type inequality for the first eigenvalue of the p-Laplace operator, or Poincare´ constant, and for a functional extending the notion of torsional rigidity. In the latter case we also characterize equality conditions.

Brunn-Minkowski inequality for two functionals involving the p-Laplace operator / A. COLESANTI; P. CUOGHI; P. SALANI. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - STAMPA. - 85 (1-3):(2006), pp. 45-66.

Brunn-Minkowski inequality for two functionals involving the p-Laplace operator

COLESANTI, ANDREA;SALANI, PAOLO
2006

Abstract

In the family of n-dimensional convex bodies, we prove a Brunn-Minkowski type inequality for the first eigenvalue of the p-Laplace operator, or Poincare´ constant, and for a functional extending the notion of torsional rigidity. In the latter case we also characterize equality conditions.
2006
85 (1-3)
45
66
A. COLESANTI; P. CUOGHI; P. SALANI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/251066
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