Preprint 70/2004
Convex integration and the Lp theory of elliptic equations.
Kari Astala, Daniel Faraco, and László Székelyhidi
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Submission date: 12. Oct. 2004
Pages: 38
published in: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 7 (2008) 1, p. 1-50 
Bibtex
MSC-Numbers: 30C62, 35D10, 39J40
Keywords and phrases: quasiconformal mappings, convex integration, higher integrability
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Abstract:
We consider elliptic partial differential
equations and provide a method constructing solutions with critical
integrability properties. We illustrate the technique
by studying isotropic equations and equations in non-divergence form in the
plane.