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Compactness properties for trace-class operators and applications to quantum mechanics
ArticleAbstract: Interpolation inequalities of Gagliardo-Nirenberg type and compactness results for self-adjoint tracPalabras claves:Compact self-adjoint operators, Gagliardo-Nirenberg inequality, Lieb-Thirring inequality, Logarithmic Sobolev inequality, Mixed states, Occupation numbers, Optimal constants, Orthonormal and sub-orthonormal systems, Trace-class operatorsAutores:Dolbeault J., Felmer P., Juan Mayorga-ZambranoFuentes:scopusMultiplicity and concentration for the nonlinear Schrödinger equation with critical frequency
ArticleAbstract: We consider the nonlinear Schrödinger equation (E)ε2 Δ v - V (x) v + | v |p - 1 v = 0 in RN, and thePalabras claves:Autores:Felmer P., Juan Mayorga-ZambranoFuentes:scopus