Boundary regularity for manifold constrained p(x)‐harmonic maps
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Publication:5874027
DOI10.1112/jlms.12499OpenAlexW3201805199MaRDI QIDQ5874027
Lukas Koch, Iwona Skrzypczak, Cristiana De Filippis
Publication date: 10 February 2023
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.06243
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Harmonic maps, etc. (58E20)
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Global higher integrability for minimisers of convex obstacle problems with (p,q)-growth ⋮ Quasiconvexity and partial regularity via nonlinear potentials ⋮ Boundary regularity for elliptic systems with \(p,q\)-growth ⋮ Lipschitz bounds for integral functionals with \((p,q)\)-growth conditions ⋮ Partial regularity of minimizers for double phase functionals with variable exponents ⋮ Singular multiple integrals and nonlinear potentials
Cites Work
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- Boundary regularity of minimizers of \(p(x)\)-energy functionals
- Partial regularity for holonomic minimisers of quasiconvex functionals
- Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps
- Lebesgue and Sobolev spaces with variable exponents
- Boundary regularity in variational problems
- p-harmonic obstacle problems. I: Partial regularity theory
- p-harmonic obstacle problems. II: Extensions of maps and applications
- p-harmonic obstacle problems. III: Boundary regularity
- Boundary regularity and the Dirichlet problem for harmonic maps
- Overview of differential equations with non-standard growth
- A regularity theory for harmonic maps
- On the definition and the lower semicontinuity of certain quasiconvex integrals
- Stable defects of minimizers of constrained variational principles
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Boundary regularity for minima of certain quadratic functionals
- Regularity for a class of nonlinear elliptic systems
- On Lavrentiev's phenomenon
- On the modeling of electrorheological materials
- A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces
- Partial regularity for manifold constrained \(p(x)\)-harmonic maps
- Vectorial nonlinear potential theory
- Regularity results for stationary electro-rheological fluids
- Boundary regularity for nonlinear elliptic systems
- Sharp regularity for functionals with (\(p\),\(q\)) growth
- Scalar minimizers with fractal singular sets
- The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps
- On the regularity of minima of non-autonomous functionals
- Manifold constrained non-uniformly elliptic problems
- Double phase image restoration
- Maximal regularity for local minimizers of non-autonomous functionals
- On the singular set of minimizers of \(p(x)\)-energies
- Riesz potential estimates for a general class of quasilinear equations
- Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case
- On the regularity of minimizers for scalar integral functionals with \((p,q)\)-growth
- Partial regularity of 𝑝(𝑥)-harmonic maps
- An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
- The existence of regular boundary points for non-linear elliptic systems
- Mappings minimizing theLp norm of the gradient
- Regularity of differential forms minimizing degenerate elliptic functionals.
- Hölder continuity of the gradient of p(x)-harmonic mappings
- 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
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Harmonic Mappings of Riemannian Manifolds
