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On the Continuity of Solutions to Degenerate Elliptic Equations in Two Dimensions

✍ Scribed by Tonia Ricciardi, Gabriella Zecca

Book ID
113078278
Publisher
Springer Netherlands
Year
2011
Tongue
English
Weight
355 KB
Volume
37
Category
Article
ISSN
0926-2601

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πŸ“œ SIMILAR VOLUMES

On the continuation of solutions for ell
On the continuation of solutions for elliptic equations in two variables
✍ Frank MΓΌller πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 210 KB

We consider nonlinear elliptic differential equations of second order in two variables F (x, y, z(x, y), z x (x, y), . . . , z yy (x, y)) = 0, (x, y) ∈ βŠ‚ R 2 . Supposing analyticity of F , we prove analyticity of the real solution z = z(x, y) in the open set . Furthermore, we show that z may be cont