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Regularity under sharp anisotropic general growth conditions
Regularity and selecting principles for implicit ordinary differential equations
1. | Department of Mathématics, EPFL, 1015 Lausanne |
2. | Departamento de Matemáticas, Universidad Autónoma de Madrid, Campus de Cantoblanco,28049 Madrid, Spain |
In this work we present an alternative selecting principle that singles out the most regular solutions (which do not always coincide with the viscosity ones). Our method is based on a general regularity theorem for Implicit ODEs. We also provide several examples.
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