Complete Characterization of Functions Which Act, Via Superposition, on Sobolev Spaces
From MaRDI portal
Publication:3207598
DOI10.2307/1998689zbMath0417.46035OpenAlexW4236122544MaRDI QIDQ3207598
Morel M. Marcus, Victor J. Mizel
Publication date: 1979
Full work available at URL: https://doi.org/10.2307/1998689
Sobolev spacessuperpositionmeasurabilityBorel functionlocally Lipschitz functioncone conditionk-dimensional Hausdorff measureregular Lebesgue point
Equations involving nonlinear operators (general) (47J05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Length, area, volume, other geometric measure theory (28A75)
Related Items
Convergence estimates of finite elements for a class of quasilinear elliptic problems, Functional calculus on BMO-type spaces of Bourgain, Brezis and Mironescu, Composition operators on Herz-type Triebel-Lizorkin spaces with application to semilinear parabolic equations, On the composition operators on Besov and Triebel–Lizorkin spaces with power weights, Composition in critical Besov spaces, Substructuring of a Signorini-type problem and Robin's method for the Richards equation in heterogeneous soil, On products of Sobolev-Orlicz spaces, Every superposition operator mapping one Sobolev space into another is continuous, A multidomain discretization of the Richards equation in layered soil, AN INTRODUCTION TO COMPOSITION OPERATORS IN SOBOLEV SPACES, The superposition operator and Strauss lemma in logarithmic Besov spaces, A characterization of first order nonlinear partial differential operators on Sobolev spaces, Nemytzkij operators on Sobolev spaces with power weights. I, Le calcul fonctionnel dans les espaces de Sobolev. (Functional calculus in Sobolev spaces), Uniform boundedness principles for Sobolev maps into manifolds, Fonctions qui opèrent sur les espaces de Sobolev. (Functions that operate on Sobolev spaces), A note on locking materials and gradient polyconvexity, Composition of functions in Sobolev spaces, On the autonomous Nemytskii operator between Sobolev spaces in the critical and supercritical cases: well-definedness and higher-order chain rule, Nonautonomous chain rules in BV with Lipschitz dependence, Superposition Operators Between Higher-order Sobolev Spaces and a Multivariate Faà di Bruno Formula: Supercritical Case, Functional calculus in fractional Sobolev spaces, Optimization of mixed variational inequalities arising in flow of viscoplastic materials, Schrödinger operators with singular magnetic vector potentials, Superposition operators on Dirichlet spaces, Generalized Pohožaev and Pucci-Serrin identities and non-existence results for \(p(x)\)-Laplacian type equations, Periodic traveling gravity water waves with discontinuous vorticity, Superposition in homogeneous and vector valued Sobolev spaces, Necessary and sufficient conditions for the chain rule in \(W_{\text{loc}}^{1,1} (\mathbb R^N;\mathbb R^d)\) and \(BV_{\text{loc}}(\mathbb R^N;\mathbb R^d)\), Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media, A survey on composition operators on some function spaces, Unnamed Item, Constrained semilinear elliptic systems on \(\mathbb{R}^N\), Monotone Gradients on Banach Lattices, On boundedness of superposition operators in spaces of Triebel-Lizorkin type, Superposition operator in Sobolev spaces on domains
