Best constant in weighted Sobolev inequality

DOI10.3792/pjaa.72.208zbMath0886.46037OpenAlexW1985567627MaRDI QIDQ1357040

Toshio Horiuchi

Publication date: 16 June 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.72.208

zbMATH Keywords

weighted Sobolev spacesweight functionsbest constantimbedding theorems

Mathematics Subject Classification ID

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

Related Items

Biographical Sketch of Professor Toshio Horiuchi ⋮ On a generalized Egnell inequality

Cites Work

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• The imbedding theorems for weighted Sobolev spaces
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Semilinear elliptic equations involving critical Sobolev exponents
• Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents
• Best constant in Sobolev inequality
• Best constant in weighted Sobolev inequality with weights being powers of distance from the origin
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents