Cover Image

Analytical obstructions to the weak approximation of Sobolev mappings into manifolds

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Detaille, Antoine, Van Schaftingen, Jean
Format:	Preprint
Published:	2024
Subjects:	Functional Analysis Analysis of PDEs 58D15 (Primary) 46E35, 46T10, 58C25 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Heterotopic energy for Sobolev mappings
by: Detaille, Antoine, et al.
Published: (2025)

The extension of traces for Sobolev mappings between manifolds
by: Van Schaftingen, Jean
Published: (2024)

Equi-integrable approximation of Sobolev mappings between manifolds
by: Van Schaftingen, Jean
Published: (2025)

On the local character of the extension of traces for Sobolev mappings
by: Van Schaftingen, Jean
Published: (2024)

Extensions of traces for Sobolev mappings into manifolds at the endpoint $p=1$
by: Van Schaftingen, Jean, et al.
Published: (2025)

Singular extension of critical Sobolev mappings under an exponential weak-type estimate
by: Bulanyi, Bohdan, et al.
Published: (2023)

Lifting of fractional Sobolev mappings to noncompact covering space
by: Van Schaftingen, Jean
Published: (2023)

Generic topological screening and approximation of Sobolev maps
by: Bousquet, Pierre, et al.
Published: (2025)

Singular extension of critical Sobolev mappings with values into complete Riemannian manifolds
by: Dipasquale, Federico Luigi
Published: (2024)

Trace theory for gauge-covariant Sobolev spaces
by: Van Schaftingen, Jean, et al.
Published: (2025)

Generic non-uniqueness of minimizing harmonic maps from a ball to a sphere
by: Detaille, Antoine, et al.
Published: (2024)

Morrey--Sobolev inequalities with power weights on the half-space
by: Van Schaftingen, Jean, et al.
Published: (2025)

Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups
by: Pinaud, Matthieu F.
Published: (2024)

Endpoint Sobolev inequalities for vector fields and cancelling operators
by: Van Schaftingen, Jean
Published: (2023)

A surprising threshold for the validity of the method of singular projection
by: Detaille, Antoine
Published: (2025)

Injective ellipticity, cancelling operators, and endpoint Gagliardo-Nirenberg-Sobolev inequalities for vector fields
by: Van Schaftingen, Jean
Published: (2023)

Runge type approximation results for spaces of smooth Whitney jets
by: Ciaś, Tomasz, et al.
Published: (2025)

An improved dense class in Sobolev spaces to manifolds
by: Detaille, Antoine
Published: (2024)

Leray-Trudinger Type Exponential Integrability in Log-Weighted Sobolev Spaces
by: Adimurthi, et al.
Published: (2026)

On Choquet integrals and Sobolev type inequalities
by: Harjulehto, Petteri, et al.
Published: (2023)

A complete answer to the strong density problem in Sobolev spaces with values into compact manifolds
by: Detaille, Antoine
Published: (2023)

Optimal Sobolev inequalities in the hyperbolic space
by: Mihula, Zdeněk
Published: (2023)

Eigenvalue optimization in higher dimensions and $p$-harmonic maps
by: Vinokurov, Denis
Published: (2026)

Spaces of distributions with Sobolev wave front in a fixed conic set: compactness, pullback by smooth maps and the compensated compactness theorem
by: Pilipović, Stevan, et al.
Published: (2024)

Complex interpolation of power-weighted Sobolev spaces with boundary conditions
by: Roodenburg, Floris B.
Published: (2025)

Families of functionals representing Sobolev norms
by: Brezis, Haim, et al.
Published: (2021)

On the equivalence between an Onofri-type inequality by Del Pino-Dolbeault and the sharp logarithmic Moser-Trudinger inequality
by: Borgia, Natalino, et al.
Published: (2024)

Abstract Theory of Bogoliubov Linearizations with Application to Nonlinear Thermodynamic Formalism
by: Bru, Jean-Bernard, et al.
Published: (2026)

A Sharp Localized Weighted Inequality Related to Gagliardo and Sobolev Seminorms and Its Applications
by: Hu, Pingxu, et al.
Published: (2026)

Sharp Sobolev and Adams-Trudinger-Moser inequalities for symmetric functions without boundary conditions on hyperbolic spaces
by: Ó, João Marcos do, et al.
Published: (2024)

Differential Complexes in Time-Periodic Gelfand-Shilov Spaces
by: Silva, Fernando de Ávila, et al.
Published: (2026)

Quasianalyticity in certain Banach function algebras
by: Feinstein, J. F., et al.
Published: (2016)

The chain rule for $\mathcal F$-differentiation
by: Chaobankoh, T., et al.
Published: (2015)

Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions
by: Eddine, Nabil Chems, et al.
Published: (2024)

A New Method of Extension of Local Maps of Banach Spaces. Applications and Examples
by: Belitskii, Genrich, et al.
Published: (2017)

Optimal Sobolev embeddings for generalized Lorentz-Zygmund spaces
by: Cavaliere, Paola, et al.
Published: (2025)

Singular Sets of Riemannian Exponential Maps in Hydrodynamics
by: Benn, James, et al.
Published: (2025)

The sharp affine $L^2$ Sobolev trace inequality and variants
by: De Nápoli, Pablo Luis, et al.
Published: (2015)

Improved Fractional Sobolev Embeddings on Closed Riemannian Manifolds under Isometric Group Actions
by: Tan, Hao, et al.
Published: (2026)

Gagliardo-Nirenberg inequality via a new pointwise estimate
by: Lesnik, Karol, et al.
Published: (2024)