Existence and concentration of ground states for saturable nonlinear Schrödinger equations with intensity functions in \(\mathbb{R}^2\)

DOI10.1016/j.na.2018.03.005zbMath1390.35066OpenAlexW2800936899MaRDI QIDQ1750261

Xianqiang Yang

Publication date: 18 May 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.03.005

zbMATH Keywords

nonlinear Schrödinger equationsground states

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61)

Related Items (8)

Existence and concentration of positive solutions to a fractional system with saturable term ⋮ Multiple sign-changing solutions for a class of Schrödinger equations with saturable nonlinearity ⋮ Localization of normalized solutions for saturable nonlinear Schrödinger equations ⋮ Groundstates and infinitely many solutions for the Schrödinger-Poisson equation with magnetic field ⋮ Existence and concentration properties of ground state solutions for elliptic systems ⋮ Normalized solutions for nonautonomous Schrödinger equations on a suitable manifold ⋮ Normalized multi-bump solutions for saturable Schrödinger equations ⋮ Ground state solutions of magnetic Schrödinger equations with exponential growth

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