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Existence results for a class of porous medium type equations with a quadratic gradient term

✍ Scribed by Daniela Giachetti; Giulia Maroscia


Publisher
Springer
Year
2007
Tongue
English
Weight
256 KB
Volume
8
Category
Article
ISSN
1424-3199

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Existence results for a class of nonline
✍ 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