Higher integrability for variational integrals with non-standard growth
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Publication:829517
DOI10.1007/s00526-020-01907-1zbMath1462.49015arXiv2005.05115OpenAlexW3156159667WikidataQ114229024 ScholiaQ114229024MaRDI QIDQ829517
Publication date: 6 May 2021
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.05115
Degenerate elliptic equations (35J70) Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving relations other than differential equations (49J21)
Related Items (13)
Quasiconvexity and partial regularity via nonlinear potentials ⋮ Optimal gradient estimates for multi-phase integrals ⋮ Nonuniformly elliptic Schauder theory ⋮ Lipschitz bounds for integral functionals with \((p,q)\)-growth conditions ⋮ Boundary regularity results for minimisers of convex functionals with \((p, q)\)-growth ⋮ The Sobolev class where a weak solution is a local minimizer ⋮ Local boundedness of weak solutions to elliptic equations with \(p, q\)-growth ⋮ Singular multiple integrals and nonlinear potentials ⋮ Unnamed Item ⋮ Interpolative gap bounds for nonautonomous integrals ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity ⋮ Interpolative gap bounds for nonautonomous integrals ⋮ Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence
Cites Work
- Unnamed Item
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- Local boundedness of minimizers with limit growth conditions
- Hölder regularity of quasiminimizers under generalized growth conditions
- Regularity for scalar integrals without structure conditions
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Quasiconvexity and partial regularity in the calculus of variations
- Growth conditions and regularity. A counterexample
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Partial regularity under anisotropic \((p,q)\) growth conditions
- Twodimensional anisotropic variational problems
- Partial regularity for manifold constrained \(p(x)\)-harmonic maps
- Regularity for general functionals with double phase
- Higher integrability for minimizers of integral functionals with \((p,q)\) growth
- Sharp regularity for functionals with (\(p\),\(q\)) growth
- On the regularity of minima of non-autonomous functionals
- Quenched invariance principle for random walks among random degenerate conductances
- Regularity for double phase variational problems
- New regularity theorems for non-autonomous variational integrals with \((p,q)\)-growth
- Regularity for some scalar variational problems under general growth conditions
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- On the regularity of minimizers for scalar integral functionals with \((p,q)\)-growth
- Regularity results for minimizers of irregular integrals with (p,q) growth
- Some remarks on the regularity of minima of anisotropic integrals
- Local Boundedness and Harnack Inequality for Solutions of Linear Nonuniformly Elliptic Equations
- Lipschitz Bounds and Nonuniform Ellipticity
- Growth conditions and regularity, an optimal local boundedness result
- Regularity of minimizers of autonomous convex variational integrals
- Partial Differential Equations with Variable Exponents
- Non-Lipschitz minimizers of smooth uniformly convex functionals
- Partial regularity for variational integrals with \((s,\mu,q)\)-growth
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