On the (non)compactness of the radial Sobolev spaces

zbMath0617.46040MaRDI QIDQ1822010

Yukiyoshi Ebihara, Tomas P. Schonbek

Publication date: 1986

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

compactnessnoncompactnessembedding operatorsSobolev spaces of functions in radial form

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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Weighted critical exponents of Sobolev-type embeddings for radial functions ⋮ Strauss's radial compactness and nonlinear elliptic equation involving a variable critical exponent ⋮ On the existence of G-symmetric entire solutions for semilinear elliptic equations ⋮ Normalized solutions of higher-order Schrödinger equations ⋮ Critical exponents of weighted Sobolev embeddings for radial functions ⋮ On compact embeddings of radial sobolev spaces and their applications ⋮ Instability of standing waves for a class of inhomogeneous Schrödinger equations with harmonic potential ⋮ Positive radial solutions of critical Hénon equations on the unit ball in ℝN$$ {\mathbb{R}}^N $$ ⋮ On Radial Solutions of the Schrödinger Type Equation ⋮ Asymptotics for a class of heat equations with inhomogeneous nonlinearity ⋮ Radial subspaces of Besov and Lizorkin-Triebel classes: Extended Strauss lemma and compactness of embeddings ⋮ Radial sign-changing solutions to biharmonic nonlinear Schrödinger equations ⋮ Compact Sobolev embeddings on non-compact manifolds via orbit expansions of isometry groups ⋮ Mathematical analysis of the dimensional scaling technique for the Schrödinger equation with power-law potentials ⋮ On the compactness of the non-radial Sobolev space

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