Global regularity for almost minimizers of nonconvex variational problems
From MaRDI portal
Publication:931276
DOI10.1007/s10231-007-0045-2zbMath1223.49041OpenAlexW2049868245MaRDI QIDQ931276
Publication date: 25 June 2008
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/s10231-007-0045-2
Regularity of solutions in optimal control (49N60) Variational methods for elliptic systems (35J50) Boundary value problems for first-order elliptic systems (35J56) Boundary value problems for second-order elliptic systems (35J57) Boundary value problems for higher-order elliptic systems (35J58)
Related Items
\(W^{2,p}\) estimates for solutions to asymptotically elliptic equations in nondivergence form ⋮ Calderón–Zygmund estimate for asymptotically regular elliptic equations with Lp(x) -logarithmic growth ⋮ Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems ⋮ Weighted Lorentz estimate for asymptotically regular parabolic equations of \(p(x, t)\)-Laplacian type ⋮ Asymptotically regular problems I: Higher integrability ⋮ On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds ⋮ Partial regularity of minimizers of asymptotically convex functionals with ${p(x)}$-growth ⋮ Global gradient estimates for asymptotically regular problems of p(x)-Laplacian type ⋮ The singular set of Lipschitzian minima of multiple integrals ⋮ Boundary regularity for elliptic systems with \(p,q\)-growth ⋮ Global Morrey regularity for asymptotically regular elliptic equations ⋮ Global gradient bounds for the parabolicp-Laplacian system ⋮ Gradient estimate for asymptotically regular elliptic equations of double phase with variable exponents ⋮ An optimal gradient estimate for asymptotically regular variational integrals with multi-phase ⋮ Asymptotically regular operators in generalized Morrey spaces ⋮ Calderón–Zygmund theory for asymptotically regular nonlinear elliptic problems with double obstacles ⋮ Sharp Hessian estimates for fully nonlinear elliptic equations under relaxed convexity assumptions, oblique boundary conditions and applications ⋮ Boundary regularity for parabolic systems in convex domains ⋮ Weighted Orlicz regularity for fully nonlinear elliptic equations with oblique derivative at the boundary via asymptotic operators ⋮ Global gradient estimates for divergence-type elliptic problems involving general nonlinear operators ⋮ Pointwise gradient estimates ⋮ Higher regularity in congested traffic dynamics ⋮ New perturbation methods for nonlinear parabolic problems ⋮ Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity ⋮ Global Calderón-Zygmund theory for nonlinear parabolic systems ⋮ Partial continuity for elliptic problems ⋮ 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 ⋮ Global Calderón-Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities ⋮ Bounded minimisers of double phase variational integrals ⋮ A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer ⋮ The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates ⋮ Regularity of minima: an invitation to the dark side of the calculus of variations. ⋮ Regularity in oscillatory nonlinear elliptic systems ⋮ Partial regularity of minimizers of asymptotically convex functionals with Morrey coefficients ⋮ Partial Hölder continuity of minimizers of functionals satisfying a VMO condition ⋮ Regularity for double phase variational problems ⋮ Partial regularity results for asymptotic quasiconvex functionals with general growth ⋮ Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions ⋮ Boundary regularity in variational problems ⋮ Lorentz estimate for nonlinear parabolic obstacle problems with asymptotically regular nonlinearities ⋮ Calderón-Zygmund estimate for asymptotically regular non-uniformly elliptic equations ⋮ Partial regularity of solutions to \(p(x)\)-Laplacian PDEs with discontinuous coefficients ⋮ Lipschitz regularity for some asymptotically convex problems ⋮ Morrey regularity results for asymptotically convex variational problems with \((p,q)\) growth ⋮ \( W^{2, p} \)-regularity for asymptotically regular fully nonlinear elliptic and parabolic equations with oblique boundary values ⋮ Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients ⋮ Global Schauder estimates for the \(p\)-Laplace system ⋮ Global Lipschitz regularity for almost minimizers of asymptotically convex variational problems ⋮ Higher regularity for minimizers of very degenerate integral functionals ⋮ Morrey regularity for almost minimizers of asymptotically convex functionals with nonstandard growth ⋮ Interior gradient regularity for \(\mathrm{BV}\) minimizers of singular variational problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global gradient bounds for relaxed variational problems
- Nonlinear elliptic systems with general growth
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Partial regularity of minimizers of quasiconvex integrals
- Remarks on the regularity of the minimizers of certain degenerate functionals
- Regularity for a class of nonlinear elliptic systems
- Regularity of minimizers of vectorial integrals with \(p\)-\(q\) growth
- Regularity of minimizers for nonconvex vectorial integrals with \(p-q\) growth via relaxation methods
- Boundary regularity for nonlinear elliptic systems
- Sharp regularity for functionals with (\(p\),\(q\)) growth
- The singular set of \(\omega\)-minima
- Proprieta di inclusione per spazi di Morrey
- Regularity results for minimizers of irregular integrals with (p,q) growth
- The existence of regular boundary points for non-linear elliptic systems
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Linearisation at infinity and Lipschitz estimates for certain problems in the calculus of variations
- Regularity of differential forms minimizing degenerate elliptic functionals.
- An existence result for a nonconvex variational problem via regularity
- Lipschitz regularity of solutions of some asymptotically convex problems
- Non-Lipschitz minimizers of smooth uniformly convex functionals