The method of \(A\)-harmonic approximation and boundary regularity for nonlinear elliptic systems under the natural growth condition (Q1034236)
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: The method of \(A\)-harmonic approximation and boundary regularity for nonlinear elliptic systems under the natural growth condition |
scientific article; zbMATH DE number 5629490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The method of \(A\)-harmonic approximation and boundary regularity for nonlinear elliptic systems under the natural growth condition |
scientific article; zbMATH DE number 5629490 |
Statements
The method of \(A\)-harmonic approximation and boundary regularity for nonlinear elliptic systems under the natural growth condition (English)
0 references
11 November 2009
0 references
The authors investigate the boundary regularity for a large and general class of nonlinear elliptic systems under natural growth conditions. The main results of the paper present a general criterion for a weak solution to be regular in the neighborhood of a given boundary point. The proofs rely on various techniques. First, a general form of Caciopolli (reverse Poincaré) inequality is obtained by the authors. Next, \(A\)-harmonic approximation tools are used together with interpolation inequalities to estimate the energy of the weak derivatives of solutions.
0 references
nonlinear elliptic systems
0 references
natural growth condition
0 references
\(A\)-harmonic approximation technique
0 references
boundary regularity
0 references
0 references
0 references
0 references
