On the distributional Jacobian of maps from \(\mathbb{S}^N\) into \(\mathbb{S}^N\) in fractional Sobolev and Hölder spaces
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Publication:640765
DOI10.4007/annals.2011.173.2.15zbMath1252.58005OpenAlexW2150450165MaRDI QIDQ640765
Publication date: 20 October 2011
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4007/annals.2011.173.2.15
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integration on manifolds; measures on manifolds (58C35) Differentiable maps on manifolds (58C25) Manifolds of mappings (58D15)
Related Items (14)
Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\) ⋮ Some remarks on rearrangement for nonlocal functionals ⋮ Fractional Orlicz-Sobolev embeddings ⋮ On fractional Orlicz‑Sobolev spaces ⋮ Heat kernels, stochastic processes and functional inequalities. Abstracts from the workshop held October 30 -- November 5, 2022 ⋮ On a new class of functions related to VMO ⋮ Functions of bounded higher variation in the fractional Sobolev spaces ⋮ Boundedness of functions in fractional Orlicz-Sobolev spaces ⋮ The Jacobian determinant revisited ⋮ Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation ⋮ Estimates for the topological degree and related topics ⋮ On polyharmonic regularizations of \(k\)-Hessian equations: variational methods ⋮ \(\Gamma\)-convergence, Sobolev norms, and BV functions ⋮ On fractional Orlicz-Sobolev spaces
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