Boundary blow-up for nonlinear elliptic equations with general growth in the gradient: an approach via symmetrisation

In this paper we give a survey of some recent results obtained via symmetrization methods for solutions of elliptic equations in the form A(u) = H(x, u, Du), where the principal term is a laplacian-type operator and H(x, u, Du) grows with respect to Du at most like |Du|q , 1 ≤ q ≤ 2. In particular,...

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Bibliographic Details
Main Author: Vincenzo Ferone
Format: Article
Language:English
Published: Università degli Studi di Catania 2010-12-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/824