Interpolative gap bounds for nonautonomous integrals
From MaRDI portal
Publication:2050651
DOI10.1007/s13324-021-00534-zzbMath1478.35117arXiv2103.00743OpenAlexW3171092570WikidataQ114220038 ScholiaQ114220038MaRDI QIDQ2050651
Cristiana De Filippis, Giuseppe Mingione
Publication date: 31 August 2021
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.00743
Related Items
Optimal gradient estimates for multi-phase integrals ⋮ Borderline Lipschitz regularity for bounded minimizers of functionals with \((p,q)\)-growth ⋮ New embedding results for double phase problems with variable exponents and a priori bounds for corresponding generalized double phase problems ⋮ Parametric superlinear double phase problems with singular term and critical growth on the boundary ⋮ Gradient regularity in mixed local and nonlocal problems ⋮ The Lavrentiev phenomenon in calculus of variations with differential forms ⋮ Nonlocal Double Phase Implicit Obstacle Problems with Multivalued Boundary Conditions ⋮ Bloch estimates in non-doubling generalized Orlicz spaces ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local behavior of fractional \(p\)-minimizers
- Parabolic equations with \(p,q\)-growth
- Hitchhiker's guide to the fractional Sobolev spaces
- Bounded minimisers of double phase variational integrals
- Hölder regularity of quasiminimizers under generalized growth conditions
- Higher differentiability of minimizers of convex variational integrals
- Higher integrability for variational integrals with non-standard growth
- Regularity of relaxed minimizers of quasiconvex variational integrals with \((p, q)\)-growth
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- On the definition and the lower semicontinuity of certain quasiconvex integrals
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Harnack inequalities for nonuniformly elliptic divergence structure equations
- On Lavrentiev's phenomenon
- On some variational problems
- Extension of functions preserving the modulus of continuity
- Some new PDE methods for weak KAM theory
- On the Brezis and Mironescu conjecture concerning a Gagliardo--Nirenberg inequality for fractional Sobolev norms.
- Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces
- Gagliardo-Nirenberg inequalities and non-inequalities: the full story
- 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
- On the regularity of minima of non-autonomous functionals
- Lipschitz regularity for orthotropic functionals with nonstandard growth conditions
- New examples on Lavrentiev gap using fractals
- Double phase image restoration
- A trace preserving operator and applications
- Growth conditions and regularity for weak solutions to nonlinear elliptic pdes
- Uniform ellipticity and \((p,q)\) growth
- Recent developments in problems with nonstandard growth and nonuniform ellipticity
- Lipschitz bounds and nonautonomous integrals
- Maximal regularity for local minimizers of non-autonomous functionals
- Regularity under general and \(p,q\)-growth conditions
- Regularity results for generalized double phase functionals
- Nonlocal self-improving properties
- Regularity for multi-phase variational problems
- On some non-linear elliptic differential functional equations
- Linear and quasilinear elliptic equations
- Local estimates for the maximum modulus of the first derivatives of solutions of quasilinear nonuniformly elliptic and nonuniformly parabolic equations and systems of general type
- Regularity for some scalar variational problems under general growth conditions
- \(C^{1,\alpha}\)-solutions to non-autonomous anisotropic variational problems
- 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
- Global higher integrability for minimisers of convex functionals with \((p,q)\)-growth
- REGULARITY OF EXPONENTIALLY HARMONIC FUNCTIONS
- Interior behaviour of minimizers for certain functionals with nonstandard growth
- Lipschitz Bounds and Nonuniform Ellipticity
- Growth conditions and regularity, an optimal local boundedness result
- Semilinear elliptic equations involving mixed local and nonlocal operators
- The Dirichlet problem for nonuniformly elliptic equations
- The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
- Local estimates for gradients of solutions of non‐uniformly elliptic and parabolic equations
