The role of the Hilbert metric in a class of singular elliptic boundary value problems in convex domains

We obtain estimates of this metric and its holomorphic bisectional curvatures near the weakly pseudoconvex boundary points and use these estimates to obtain non tangential estimates

Marcus, Existence theorems for superlinear elliptic Dirichlet problems in exterior domains, in: Nonlinear Functional Analysis and its Applications, Part 1, Berkeley, CA, 1983,

Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 4 e série, tome 25, n o 3-4 (1997),

BROWDER, Existence theory for boundary value problems for quasilinear elliptic systems with strongly lower order terms, Proc. Symposia in Pure Mathe- matics,

The aim of this work is to apply the periodic unfolding method introduced by Cioranescu, Damlamian and Griso [5] to the homogenization of a class of elliptic second-order equations

Sorin MARDARE Maître de Conférence, Université de Rouen Examinateur Mme Patrizia DONATO Professeur, Université de Rouen Directeur de thèse Mme Sara MONSURRO’

and V´eron L., Boundary trace of positive solutions of semilinear elliptic equations in Lipschitz domains: the subcritical case arXiv:0907.1006v3, submitted. [21]

In order to characterize positive good measures, we introduce a framework of nonlinear analysis which have been used by Dynkin and Kuznetsov (see [16] and references therein) and