𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence and Multiplicity for Elliptic Problems with Quadratic Growth in the Gradient

✍ Scribed by Jeanjean, Louis; Sirakov, Boyan

Book ID
120315581
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
198 KB
Volume
38
Category
Article
ISSN
0360-5302

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Existence results for a class of nonline
Existence results for a class of nonlinear elliptic problems with p-growth in the gradient
✍ Nathalie Grenon; Cristina Trombetti πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 123 KB

We prove the existence of bounded solutions for a class of nonlinear elliptic problems whose model is in the form: -div(a(x; u; Du)) = k1(|u|)|Du| p + k2(|u|)f; u ∈ W 1;p 0 ( ) ∩ L ∞ ( ); (\*) where a(x; Á; ) ¿ b(|Á|)| | p , b is a continuous monotone decreasing function and k1 and k2 are continuous