Compact embeddings of \(p\)-Sobolev-like cones of nuclear operators

DOI10.1007/s43037-021-00175-1zbMath1501.47033OpenAlexW4210356438MaRDI QIDQ2073150

Juan Mayorga-Zambrano, Josué Castillo-Jaramillo, Juan Burbano-Gallegos

Publication date: 27 January 2022

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

Full work available at URL: https://doi.org/10.1007/s43037-021-00175-1

zbMATH Keywords

trace-class operatorcompact embeddingregularity propertiesnuclear operatorfree-energy functionalGagliardo-Nirenberg-type inequalitySobolev-like cones

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Convex sets and cones of operators (47L07)

Cites Work

• Thermal effects in gravitational Hartree systems
• Compactness properties for trace-class operators and applications to quantum mechanics
• Functional analysis, Sobolev spaces and partial differential equations
• Existence and nonlinear stability of stationary states of the Schrödinger-Poisson system
• Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional \(p\)-Laplacian
• Lieb--Thirring type inequalities and Gagliardo--Nirenberg inequalities for systems
• Sobolev-like cones of trace-class operators on unbounded domains: interpolation inequalities and compactness properties
• Weak Sufficient Conditions for Fatou's Lemma and Lebesgue's Dominated Convergence Theorem
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