Existence and asymptotic profiles of positive solutions of quasilinear Schrödinger equations in R3

DOI10.1063/1.5010930zbMath1383.82073OpenAlexW2769893959MaRDI QIDQ4599489

Qing Li, Youjun Wang

Publication date: 2 January 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5010930

zbMATH Keywords

nonlinear dynamicsasymptotic analysisquasilinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of superfluids (82D50) Perturbation theories for operators and differential equations in quantum theory (81Q15) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (2)

Unnamed Item ⋮ Positive solutions for generalized quasilinear Schrödinger equations with asymptotically linear nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Solitary solutions for a class of Schrödinger equations in \({\mathbb{R}^3}\)
• \(G\)-invariant positive solutions for a quasilinear Schrödinger equation
• Uniqueness of the ground state solutions of quasilinear Schrödinger equations
• Existence and asymptotic behavior of positive solutions for a class of quasilinear Schrödinger equations
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Positive solutions of some nonlinear elliptic problems in exterior domains
• Existence of solitary waves in higher dimensions
• Elliptic partial differential equations of second order
• Soliton solutions for quasilinear Schrödinger equations. II.
• Minimax theorems
• Soliton solutions for generalized quasilinear Schrödinger equations
• Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
• Blow-up phenomena and asymptotic profiles of ground states of quasilinear elliptic equations with \(H^1\)-supercritical nonlinearities
• Stationary, oscillatory and solitary wave type solution of singular nonlinear schrödinger equations
• Solutions for Quasilinear Schrödinger Equations via the Nehari Method
• Asymptotic Properties of Ground States of Quasilinear Schrödinger Equations With H¹-Subcritical Exponent
• Evolution theorem for a class of perturbed envelope soliton solutions
• Existence of ground states for a modified nonlinear Schrödinger equation
• Static solutions of aD-dimensional modified nonlinear Schr dinger equation
• Soliton solutions for quasilinear Schrödinger equations, I
• A remark on least energy solutions in $\mathbf {R}^N$
• Soliton solutions for quasilinear Schrödinger equations
• Quasilinear asymptotically periodic Schrödinger equations with critical growth

This page was built for publication: Existence and asymptotic profiles of positive solutions of quasilinear Schrödinger equations in R3