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Sobolev-like cones of trace-class operators on unbounded domains: Interpolation inequalities and compactness properties
ArticleAbstract: In this paper we extend the compactness properties for trace-class operators obtained by Dolbeault,Palabras claves:compactness, Free energy, Schrödinger operator, Trace-class operatorAutores:Juan Mayorga-Zambrano, Z. Salinas, Zuly SalinasFuentes:scopusAsymptotic Behaviour of Infinitely Many Solutions for the Finite Case of a Nonlinear Schrödinger Equation with Critical Frequency
ArticleAbstract: We consider a nonlinear Schrödinger equation Pε: ε2Δv-V(x)v+|v|p-1v=0, x∈RN, with v(x)→0, as |x|→+∞,Palabras claves:Critical frequency, Finite case, Nonlinear Schrödinger equation, Semiclassical asymptoticsAutores:Carlos Muñoz-Moncayo, Juan Mayorga-Zambrano, Leonardo Medina-EspinosaFuentes:scopusA non-trivial solution for a p-Schrödinger–Kirchhoff-type integro-differential system by non-smooth techniques
ArticleAbstract: We consider the integro-differential system (P <inf>m</inf>) : -(ak+bk(∫RN|∇uk|pdx)p-1)Δpuk+V(x)|uk|Palabras claves:Integro-differential system, Non-smooth critical point theory, Non-smooth mountain pass theorem, p-Schrödinger–Kirchhoff-type systemAutores:Daniel Narváez-Vaca, Juan Mayorga-ZambranoFuentes:scopusExistence and Asymptotic of Solutions for a p-Laplace Schrödinger Equation with Critical Frequency
ArticleAbstract: We study the Schrödinger equation (Qε): −ε<sup>2(p</sup>−<sup>1)</sup>∆pv+ V (x) |v|<sup>p−</sup><suPalabras claves:Asymptotic properties, ground state, Multiplicty, p-Laplace operator, Quasilinear Schrödinger equationAutores:Bryan Pérez-Pilco, Josué Castillo-Jaramillo, Juan Burbano-Gallegos, Juan Mayorga-ZambranoFuentes:scopusThree Solutions for a Perturbed Integral Equation with Homogeneous Dirichlet Condition
ArticleAbstract: We consider the integral equation (Formula presented), with homogeneous Dirichlet condition on a bouPalabras claves:Critical Points, Integral elliptic equation, Variational methodsAutores:Andre Vera-Montiel, Juan Mayorga-ZambranoFuentes:scopusMultiplicity and concentration for the nonlinear Schrödinger equation with critical frequency
ArticleAbstract: We consider the nonlinear Schrödinger equation (E)ε<sup>2</sup> Δ v - V (x) v + | v |<sup>p - 1</supPalabras claves:Autores: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, (P<inf>ɛ</inf>): ɛ<sup>2</sup>Palabras claves:Critical frequency, Infinite case, Nonlinear Schrödinger equation, Semiclassical asymptoticsAutores:Ariel Aguas-Barreno, Jordy Cevallos-Chavez, Juan Mayorga-Zambrano, Leonardo Medina-EspinosaFuentes:scopusExistence of positive solutions for a p-Schrödinger–Kirchhoff integro-differential equation with critical growth
ArticleAbstract: We consider the p-Schrödinger–Kirchhoff-type equation (Figure presented.) for v∈W<sup>1,p</sup>(R<suPalabras claves:35J60, 45K05, Integro-differential equation, Ljusternik–Schnirelmann theory, Method of Nehari manifold, p-Schrödinger–Kirchhoff-type equationAutores:Henry Cumbal-López, Juan Mayorga-ZambranoFuentes:scopusLocal Ground-State and Mountain Pass Solutions for a p-Kirchhoff Equation with Critical Exponent
ArticleAbstract: We study a Kirchhoff-type equation where the diffusion coefficient is non-locally affected, the nonlPalabras claves:critical expnent, Integro-differential equation, local ground-state solution, mountain-pass solution, p-Kirchhoff equationAutores:Daniel Narváez-Vaca, Henry Cumbal-López, Jordy Cevallos-Chavez, Juan Mayorga-ZambranoFuentes:scopus