Boundary regularity results for minimisers of convex functionals with \((p, q)\)-growth
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Publication:6146548
DOI10.1515/anona-2023-0110arXiv2212.14723OpenAlexW4390906501MaRDI QIDQ6146548
Christopher Irving, Lukas Koch
Publication date: 31 January 2024
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.14723
partial regularityregular boundary pointsnon-autonomous integrandsnonuniformly elliptic convex vectorial functionals
Cites Work
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- Parabolic systems with \({p,q}\)-growth: a variational approach
- The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates
- Global gradient estimates for non-uniformly elliptic equations
- Higher differentiability of minimizers of convex variational integrals
- Lebesgue and Sobolev spaces with variable exponents
- Boundary regularity in variational problems
- Global regularity in fractional order Sobolev spaces for \(p\)-Laplace equation on polyhedral domains
- Higher integrability for variational integrals with non-standard growth
- Regularity of relaxed minimizers of quasiconvex variational integrals with \((p, q)\)-growth
- Besov regularity of solutions to the \(p\)-Poisson equation
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Partial regularity for non autonomous functionals with non standard growth conditions
- Partial regularity of minimizers of quasiconvex integrals
- Growth conditions and regularity. A counterexample
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Interpretation of the Lavrentiev phenomenon by relaxation
- On Lavrentiev's phenomenon
- Partial regularity under anisotropic \((p,q)\) growth conditions
- New lower semicontinuity results for polyconvex integrals
- Relaxation of multiple integrals below the growth exponent
- Regularity results for elliptic equations in Lipschitz domains
- The Lavrentiev gap phenomenon in nonlinear elasticity
- Bounds for the singular set of solutions to non linear elliptic systems
- Partial regularity of minimizers of quasiconvex integrals with subquadratic growth
- A boundary regularity result for minimizers of variational integrals with nonstandard growth
- Regularity for general functionals with double phase
- Relaxation of convex functionals: the gap problem
- Sharp regularity for functionals with (\(p\),\(q\)) growth
- Scalar minimizers with fractal singular sets
- New examples on Lavrentiev gap using fractals
- Boundary regularity of minimizers of double phase functionals
- Maximal regularity for local minimizers of non-autonomous functionals
- Global higher integrability for minimisers of convex obstacle problems with (p,q)-growth
- Quasiconvexity and partial regularity via nonlinear potentials
- Optimal second-order regularity for the \(p\)-Laplace system
- Absence of Lavrentiev gap for non-autonomous functionals with \((p,q)\)-growth
- New regularity theorems for non-autonomous variational integrals with \((p,q)\)-growth
- Boundary regularity for almost minimizers of quasiconvex variational problems
- Regularity of minimizers of \(W^{1,p}\)-quasiconvex variational integrals with \((p,q)\)-growth
- Examples of nonregular solutions of quasilinear elliptic equations with analytic coefficients
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Global higher integrability for minimisers of convex functionals with \((p,q)\)-growth
- Regularity results for minimizers of irregular integrals with (p,q) growth
- Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
- Regularity theorems for degenerate quasiconvex energies with (p, q)-growth
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Régularité de la solution d'un problème aux limites non linéaires
- A new poincaré inequality and its application to the regularity of minimizers of integral functionals with nonstandard growth
- Injectivity theorems in plane and space
- Regularity and perturbation results for mixed second order elliptic problems
- A sharp estimate à la Calderón–Zygmund for the p-Laplacian
- A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems
- Growth conditions and regularity, an optimal local boundedness result
- On the limit Sobolev regularity for Dirichlet and Neumann problems on Lipschitz domains
- Regularity of minimizers of autonomous convex variational integrals
- Partial Differential Equations with Variable Exponents
- Global Regularity in Sobolev Spaces for Elliptic Problems with p-structure on Bounded Domains
- On the lack of interior regularity of the p‐Poisson problem with p>2
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