A connection between \(\alpha\)-capacity and \(L^ p\)-classes of differentiable functions

DOI10.1007/BF02591134zbMath0135.32401OpenAlexW2587826526MaRDI QIDQ2521093

Hans Wallin

Publication date: 1965

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02591134

zbMATH Keywords

partial differential equations

Related Items (20)

Capacity and 2nd order semilinear elliptic supersolutions ⋮ Local behavior of solutions of quasi-linear equations ⋮ Accumulation-point singularities of low-energy gauge fields ⋮ An asymptotic condition for variational points of nonquadratic functionals ⋮ Approximation by rational functions on compact nowhere dense subsets of the complex plane ⋮ Harmonic boundaries of Riemannian manifolds ⋮ Low energy scattering asymptotics for planar obstacles ⋮ Extremal Length and Conformal Capacity ⋮ Approximation in the Mean by Analytic Functions ⋮ Removable singularities of solutions of elliptic equations ⋮ On sets which are removable for quasiconformal space mappings ⋮ Bessel potentials and extension of continuous functions on compact sets ⋮ Metrical characterization of conformal capacity zero ⋮ Aspects of approximation theory for functions of one complex variable ⋮ Pressure, capacity, and the Navier-Stokes equations ⋮ Removable singularities of solutions of elliptic equations. II ⋮ Non-linear potentials and approximation in the mean by analytic functions ⋮ Some geometric properties of quasiconformal homeomorphisms ⋮ Properties of nonlinear Hodge fields ⋮ A connection between 𝛼-capacity and 𝑚-𝑝 polarity

Cites Work

• Extremal length and functional completion
• Local behavior of solutions of quasi-linear equations
• Continuous functions and potential theory
• On the existence of certain singular integrals
• Some Theorems About the Riesz Fractional Integral
• On Generalized Potentials of Functions in the Lebesgue Classes.
• A Theorem about Fractional Integrals

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