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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
70/2004
Convex integration and the
Kari Astala, Daniel Faraco and László Székelyhidi
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.
- Received:
- 12.10.04
- Published:
- 12.10.04
- MSC Codes:
- 30C62, 35D10, 39J40
- Keywords:
- quasiconformal mappings, convex integration, higher integrability
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