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Compact embeddings of p-Sobolev-like cones of nuclear operators
ArticleAbstract: Let p≥ 2 , Ω ⊆ RN smooth bounded domain, V∈ L ∞(Ω) non-negative, and S1 the space of self-adjoint trPalabras claves:Compact embedding, Free-energy functional, Gagliardo–Nirenberg type inequality, Nuclear operator, Regularity properties, Sobolev-like cones, Trace-class operatorAutores:Josué Castillo-Jaramillo, Juan Burbano-Gallegos, Juan Mayorga-ZambranoFuentes:scopusCompactness 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:scopusSEMICLASSICAL ASYMPTOTICS OF INFINITELY MANY SOLUTIONS FOR THE INFINITE CASE OF A NONLINEAR SCHRÖDINGER EQUATION WITH CRITICAL FREQUENCY
ArticleAbstract: We consider a nonlinear Schrödinger equation with critical frequency, (Pɛ): ɛ2∆v(x)-V(x)v(x) + |v(x)Palabras claves:Critical frequency, Infinite case, Nonlinear Schrödinger equation, Semiclassical asymptoticsAutores:Ariel Aguas-Barreno, Jordy Cevallos-Chavez, Juan Mayorga-Zambrano, Leonardo Medina-EspinosaFuentes: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:scopusMultiplicity of solutions for a p-Schrödinger–Kirchhoff-type integro-differential equation
ArticleAbstract: We consider the integro-differential problem (P): -(a+b(∫RN|∇u|pdx)p-1)Δpu+V(x)|u|p-2u=f(x,u),x∈RN,wPalabras claves:Critical point theory, Ljusternik–Schnirelman theory, p-Schrödinger–Kirchhoff-type equationAutores:Abraham Macancela-Bojorque, Josué Murillo-Tobar, Juan Mayorga-ZambranoFuentes:scopus