Global Lipschitz regularity for almost minimizers of asymptotically convex variational problems

DOI10.1007/s10231-009-0103-zzbMath1180.49039OpenAlexW2070395154MaRDI QIDQ1048230

Anna Verde, Antonia Passarelli Di Napoli, Mikil D. Foss

Publication date: 11 January 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-009-0103-z

zbMATH Keywords

Lipschitz regularityasymptotic convexityalmost minimizer

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Variational methods for elliptic systems (35J50) Boundary value problems for first-order elliptic systems (35J56)

Related Items (26)

Asymptotically regular problems I: Higher integrability ⋮ On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds ⋮ Lipschitz estimates for systems with ellipticity conditions at infinity ⋮ Partial regularity of minimizers of asymptotically convex functionals with ${p(x)}$-growth ⋮ On the Lipschitz Regularity for Minima of Functionals Depending on $x$, $u$, and $\nabla{u}$ under the Bounded Slope Condition ⋮ Regularity results for vectorial minimizers of a class of degenerate convex integrals ⋮ Boundary regularity for elliptic systems with \(p,q\)-growth ⋮ Global Morrey regularity for asymptotically regular elliptic equations ⋮ An optimal gradient estimate for asymptotically regular variational integrals with multi-phase ⋮ On the Hölder regularity of all extrema in Hilbert's 19th problem ⋮ Boundary regularity for parabolic systems in convex domains ⋮ Higher regularity in congested traffic dynamics ⋮ Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems ⋮ Global boundedness of the gradient for a class of nonlinear elliptic systems ⋮ A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer ⋮ Higher integrability for minimizers of asymptotically convex integrals with discontinuous coefficients ⋮ Partial regularity of minimizers of asymptotically convex functionals with Morrey coefficients ⋮ Very degenerate elliptic equations under almost critical Sobolev regularity ⋮ Partial Hölder continuity of minimizers of functionals satisfying a VMO condition ⋮ Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions ⋮ Partial regularity of solutions to \(p(x)\)-Laplacian PDEs with discontinuous coefficients ⋮ Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients ⋮ Global Schauder estimates for the \(p\)-Laplace system ⋮ Higher regularity for minimizers of very degenerate integral functionals ⋮ Morrey regularity for almost minimizers of asymptotically convex functionals with nonstandard growth ⋮ Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence

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