Gradient estimates for nonlinear elliptic equations with a gradient term

Date/heure
29 septembre 2017
11:00 - 12:00

Oratrice ou orateur
Florica Cirstea

Catégorie d'évènement
Séminaire EDP, Analyse et Applications (Metz)

Résumé

Let $N g e q 2$ and $O m e g a s u b s e t e q m a t h b b R^{N}$ denote a domain containing the origin $0$ . In this talk, we present recent gradient estimates for the positive solutions $u i n C^{2} (O m e g a s e t m i n u s 0)$ of nonlinear elliptic equations such as $r m d i v (| x |^{s i g m a} | n a b l a u |^{p - 2} n a b l a u) = | x |^{- t a u} u^{q} | n a b l a u |^{m} q u a d m a t h r m i n O m e g a s e t m i n u s 0 .$ We assume throughout that $m, p, q, s i g m a$ and $t a u$ are real parameters satisfying $p i n] 1, N + s i g m a]$ and $m i n k, e l l, m, q i n] 0, + i n f t y [$ , where $k := m + q - p + 1$ and $e l l := q + 1 - s i g m a - t a u$ . This is joint work with Joshua Ching (The University of Sydney).