Existence of a positive solution for a logarithmic Schrödinger equation with saddle-like potential

In this article we use the variational method developed by Szulkin (Ann Inst H Poincaré Anal Non Linéire 3:77–109, 1986) to prove the existence of a positive solution for the following logarithmic Schrödinger equation - ϵ 2 Δ u + V ( x ) u = u log u 2 , in R N , u ∈ H 1 ( R N ) , where ϵ > 0 , N...

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Veröffentlicht in:	Manuscripta mathematica 2021-03, Vol.164 (3-4), p.555-575
Hauptverfasser:	Alves, Claudianor O., Ji, Chao
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Calculus of Variations and Optimal Control Optimization Geometry Lie Groups Mathematics Mathematics and Statistics Number Theory Schrodinger equation Topological Groups
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