BMO and uniform estimates for multi-well problems

DOI10.1007/s00229-012-0531-8zbMath1257.49049OpenAlexW2154646792MaRDI QIDQ1938851

Jan Kristensen, Kewei Zhang, Georg Dolzmann

Publication date: 25 February 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-012-0531-8

zbMATH Keywords

minimizerselliptic systemsvariational integralslocally Lipschitzmatrix spaceCordes-Nirenberg type estimateslocal regularity resultsvector-valued extremals

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (9)

On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds ⋮ Geometry of logarithmic strain measures in solid mechanics ⋮ BMO \(\varepsilon\)-regularity results for solutions to Legendre-Hadamard elliptic systems ⋮ Partial Hölder continuity of minimizers of functionals satisfying a VMO condition ⋮ Partial regularity results for asymptotic quasiconvex functionals with general growth ⋮ Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions ⋮ On Morrey and BMO regularity for gradients of minima of certain non-differentiable functionals ⋮ Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications ⋮ Convergence of adaptive finite element methods for a nonconvex double-well minimization problem

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