Convex integration for Lipschitz mappings and counterexamples to regularity

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dc.creatorMuller, S.
dc.creatorSverak, V.
dc.date2004-02-17
dc.date.accessioned2026-07-07T05:05:32Z
dc.date.available2026-07-07T05:05:32Z
dc.descriptionWe study Lispchitz solutions of partial differential relations $\nabla u\in K$, where $u$ is a vector-valued function in an open subset of $R^n$. In some cases the set of solutions turns out to be surprisingly large. The general theory is then used to construct counter-examples to regularity of solutions of Euler-Lagrange systems satisfying classical ellipticity conditions.
dc.description28 pages published version
dc.identifierhttps://arxiv.org/abs/math/0402287
dc.identifierhttp://arxiv.org/abs/math/0402287
dc.identifierAnn. of Math. (2), Vol. 157 (2003), no. 3, 715--742
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70199
dc.subjectClassical Analysis and ODEs
dc.titleConvex integration for Lipschitz mappings and counterexamples to regularity
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