On a Differential Inclusion Related to the Born--Infeld Equations

DOI10.1137/120867093zbMath1301.35226arXiv1201.4244OpenAlexW2034161884MaRDI QIDQ2927856

Mariapia Palombaro, Stefan Müller

Publication date: 4 November 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4244

zbMATH Keywords

convex integrationpartial differential inclusionsolenoidal fieldsBorn-Infeld equations\({\mathcal A}\)-quasi-convexity

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Hyperbolic conservation laws (35L65) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (6)

Attainment results for nematic elastomers ⋮ On Lipschitz solutions for some forward-backward parabolic equations ⋮ Symmetry analysis and some new exact solutions of Born–Infeld equation ⋮ Symmetric div-quasiconvexity and the relaxation of static problems ⋮ \(\mathscr{A}\)-quasiconvexity and partial regularity ⋮ Convex Integration and Infinitely Many Weak Solutions to the Perona--Malik Equation in All Dimensions

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