Compact imbeddings of weighted Sobolev spaces on unbounded domains

DOI10.1016/0022-0396(71)90085-4zbMath0209.15004OpenAlexW2095498714MaRDI QIDQ2543529

Robert A. Adams

Publication date: 1971

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(71)90085-4

Mathematics Subject Classification ID

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

Related Items (13)

Compact embeddings for weighted Orlicz-Sobolov spaces on \({\mathbb R}^ N\) ⋮ Well-posedness in weighted Sobolev spaces for elliptic equations of Cordes type ⋮ Embedding and compactness theorems for irregular and unbounded domains in weighted Sobolev spaces ⋮ Inverted finite elements: a new method for solving elliptic problems in unbounded domains ⋮ Second order elliptic equations of variational type in unbounded domains ⋮ On a weighted trace embedding and applications to critical boundary problems^† ⋮ Compact trace in weighted variable exponent Sobolev spaces \(W^{1,p(x)}(\Omega;v_0,v_1)\) ⋮ Operator properties of Sobolev imbeddings over unbounded domains ⋮ Existence, uniqueness and decay properties of strong solutions to an evolutionary system of MHD type in \(\mathbb{R}^3\) ⋮ Existence and multiplicity of self-similar solutions for heat equations with nonlinear boundary conditions ⋮ On a class of weighted Sobolev spaces and the minimization of quadratic forms ⋮ Estimation des valeurs propres d'opérateurs elliptiques sur des ouverts non bornés ⋮ Nondegeneracy of solutions for a class of cooperative systems on \(\mathbb{R}^n\)

Cites Work

• An embedding theorem for function spaces
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Unnamed Item

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