Differential inclusions and \(\mathcal A\)-quasiconvexity

DOI10.1007/s00009-017-0917-7zbMath1378.35076arXiv1703.00270OpenAlexW2605651918MaRDI QIDQ1674188

Ana Cristina Barroso, Pedro Miguel Santos, José Matias

Publication date: 1 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00270

zbMATH Keywords

quasiconvexitydifferential inclusionrelaxation

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Convexity properties of solutions to PDEs with constant coefficients (35E10) Existence theories for optimal control problems involving relations other than differential equations (49J21)

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Cites Work

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• A general existence theorem for differential inclusions in the vector valued case
• Implicit partial differential equations
• Optimal design and relaxation of variational problems, I
• $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
• CONVEX INTEGRATION OF DIFFERENTIAL RELATIONS. I