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Improved Sobolev Embedding Theorems for Vector-Valued Functions

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Publication:2928382
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DOI10.1619/FESI.57.245zbMath1315.46033arXiv1403.7580OpenAlexW2964079007MaRDI QIDQ2928382

Takashi Ichinose, Yoshimi Saito

Publication date: 7 November 2014

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7580


zbMATH Keywords

Dirac operatorSobolev inequalityGagliardo-Nirenberg inequalityDirac-Sobolev inequalityimproved Sobolev embedding theoremSobolev inequality for vector-valued functions


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) PDEs in connection with quantum mechanics (35Q40)


Related Items (3)

Higher topological type semiclassical states for Sobolev critical Dirac equations with degenerate potential ⋮ Infinitely many localized semiclassical states for critical nonlinear Dirac equations ⋮ The solutions of critical nonlinear Dirac equations with degenerate potential







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