Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions
DOI10.1515/acv-2021-0074zbMath1523.49010arXiv2109.01584WikidataQ114007278 ScholiaQ114007278MaRDI QIDQ6077516
Erica Ipocoana, Antonio Giuseppe Grimaldi
Publication date: 18 October 2023
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.01584
Besov spacevariational inequalityobstacle problemsnon-standard growth conditionshigher fractional differentiability
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Fractional partial differential equations (35R11)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lipschitz continuity for energy integrals with variable exponents
- Lipschitz estimates for systems with ellipticity conditions at infinity
- Parabolic systems with \({p,q}\)-growth: a variational approach
- Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\)
- Higher differentiability for \(n\)-harmonic systems with Sobolev coefficients
- Fractional differentiability for solutions of nonlinear elliptic equations
- Global gradient estimates for the borderline case of double phase problems with BMO coefficients in nonsmooth domains
- Higher differentiability of minimizers of convex variational integrals
- Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings
- Boundary regularity in variational problems
- Regularity for scalar integrals without structure conditions
- Regularity results for non-autonomous variational integrals with discontinuous coefficients
- On the definition and the lower semicontinuity of certain quasiconvex integrals
- Growth conditions and regularity. A counterexample
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Potential methods in variational inequalities
- Regularity for a class of nonlinear elliptic systems
- Regularity of minimizers of vectorial integrals with \(p\)-\(q\) growth
- Riesz potential estimates for a class of double phase problems
- Regularity results for a priori bounded minimizers of non-autonomous functionals with discontinuous coefficients
- Higher differentiability for solutions to a class of obstacle problems
- Scalar minimizers with fractal singular sets
- On the regularity of minima of non-autonomous functionals
- Existence and regularity for elliptic equations under \(p,q\)-growth
- Growth conditions and regularity for weak solutions to nonlinear elliptic pdes
- Besov regularity for the gradients of solutions to non-uniformly elliptic obstacle problems
- Higher differentiability of solutions for a class of obstacle problems with variable exponents
- Higher differentiability of solutions to a class of obstacle problems under non-standard growth conditions
- A priori estimates for solutions to a class of obstacle problems under \(p, q\)-growth conditions
- A variational approach to parabolic equations under general and \(p,q\)-growth conditions
- Besov regularity for solutions of \(p\)-harmonic equations
- Existence of evolutionary variational solutions via the calculus of variations
- \(C^{1,\alpha}\)-solutions to non-autonomous anisotropic variational problems
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Lipschitz regularity for degenerate elliptic integrals with \(p, q\)-growth
- On the validity of variational inequalities for obstacle problems with non-standard growth
- Lipschitz Bounds and Nonuniform Ellipticity
- A Time Dependent Variational Approach to Image Restoration
- Higher differentiability of minimizers of variational integrals with Sobolev coefficients