Variational integrals of splitting-type: higher integrability under general growth conditions

DOI10.1007/s10231-008-0085-2zbMath1181.49035OpenAlexW1995800789MaRDI QIDQ731404

Michael Bildhauer, Fuchs, Martin

Publication date: 2 October 2009

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/s10231-008-0085-2

zbMATH Keywords

local minimizershigher integrabilitynonstandard growth conditionsanisotropic problemsdecomposable variational integrals

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Boltzmann equations (35Q20)

Related Items (9)

Differentiability and higher integrability results for local minimizers of splitting-type variational integrals in 2D with applications to nonlinear Hencky-materials ⋮ The nonlinear Stokes problem with general potentials having superquadratic growth ⋮ Two-dimensional variational problems with a wide range of anisotropy ⋮ The partial regularity for minimizers of splitting type variational integrals under general growth conditions. I: The autonomous case ⋮ The partial regularity for minimizers of splitting type variational integrals under general growth conditions. II: The nonautonomous case ⋮ Bounds for vector valued minimizers of some relaxed functionals ⋮ Higher differentiability of minimizers of convex variational integrals ⋮ Local boundedness for vector valued minimizers of anisotropic functionals ⋮ Uniform ellipticity and \((p,q)\) growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity for elliptic equations with general growth conditions
• Nonlinear elliptic systems with general growth
• Hölder continuity of the solutions of some nonlinear elliptic systems
• Remarks on the regularity of the minimizers of certain degenerate functionals
• Growth conditions and regularity. A counterexample
• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Regularity for minimizers of functionals with \(p-q\) growth
• Convex variational problems. Linear, nearly linear and anisotropic growth conditions
• Higher integrability for minimizers of integral functionals with \((p,q)\) growth
• Higher integrability of the gradient for vectorial minimizers of decomposable variational integrals
• Some remarks on the regularity of minima of anisotropic integrals
• Interior behaviour of minimizers for certain functionals with nonstandard growth
• Direct methods in the calculus of variations

This page was built for publication: Variational integrals of splitting-type: higher integrability under general growth conditions