Everywhere \(C^\alpha\)-estimates for a class of nonlinear elliptic systems with critical growth (Q2443307)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Everywhere \(C^\alpha\)-estimates for a class of nonlinear elliptic systems with critical growth |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Everywhere \(C^\alpha\)-estimates for a class of nonlinear elliptic systems with critical growth |
scientific article |
Statements
Everywhere \(C^\alpha\)-estimates for a class of nonlinear elliptic systems with critical growth (English)
0 references
7 April 2014
0 references
The authors discuss general conditions under which they prove a-priory estimates and existence of solutions for systems \[ -\text{div} F_\eta (u, \nabla u) + F_u(u,\nabla u) = b(x, u, \nabla u) \] with \(u:\Omega \to \mathbb{R}^N\) and \(\Omega\) a bounded domain in \(\mathbb{R}^d\), \(d\geq 3\).
0 references
nonlinear elliptic systems
0 references
regularity
0 references
Noether equation
0 references
Hölder continuity
0 references
