𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solvability problem for nondiagonal elliptic systems with a quadratic nonlinearity in the gradient (The two-dimensional case)

✍ Scribed by A. Arkhipova


Publisher
Springer US
Year
2005
Tongue
English
Weight
174 KB
Volume
127
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


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

Monotonicity methods for two classes of
✍ L. V. Wolfersdorf πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 952 KB

such problems goes back to B. RIEMANN in 1851. So A. I. GUSEINOV [251, V. K. NATALEVIC [39], [40], B. I. GEKHT [24] and others (cf. the recent monograph [26] of GUSEINOV and MUKHTAROV) applied iteration methods to these problems, whereas IT, POGORZELSKI in his monograph [C2], Chap. 19, 8 5 and other