Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle

In this paper, we study optimal lower and upper bounds for functionals involving the first Dirichlet eigenvalue λF⁢(p,Ω){\lambda_{F}(p,\Omega)} of the anisotropic p-Laplacian, 1<p<+∞{1<p<+\infty}. Our aim is to enhance, by means of the 𝒫{\mathcal{P}}-function method, how it is possible t...

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Bibliographic Details
Main Authors: Della Pietra Francesco, di Blasio Giuseppina, Gavitone Nunzia
Format: Article
Language:English
Published: De Gruyter 2018-09-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2017-0281