Ascoli's theorem for functions vanishing at infinity and selected applications.

DOI10.1016/j.jmaa.2003.09.042zbMath1047.46017OpenAlexW2080468991MaRDI QIDQ1426989

Patrick J. Rabier

Publication date: 14 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.042

zbMATH Keywords

Sobolev embeddingsAscoli theoremcompactness in Banach spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Applications of operator theory to differential and integral equations (47N20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Compactness in Banach (or normed) spaces (46B50) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (3)

Global continuation for first order systems over the half‐line involving parameters ⋮ Parameter-dependent systems on the half-line and free convection boundary-layers in porous media ⋮ Superlinear convolution equations in \(\mathbb R^{N}\)

Cites Work

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• A topology for spaces of transformations
• Equicontinuous sets of mappings
• Equivalent Norms for Sobolev Spaces
• Nonlinear Fredholm operators with concompact fibers and applications to elliptic problems on \(\mathbb{R}^N\)

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