Normalized positive solutions for Schrödinger equations with potentials in unbounded domains
type: Item
instance of: scholarly article
title: Normalized positive solutions for Schrödinger equations with potentials in unbounded domains
author: Sergio Lancelotti
author: Riccardo Molle
published in: Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
publication date: 2024-10-29T00:00:00Z
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 7933870
zbMATH Keywords: nonlinear Schrödinger equations
zbMATH Keywords: existence of positive normalized solutions
zbMATH Keywords: exterior domain
MaRDI profile type: Publication
cites work: Normalized solutions for the Schrödinger equations with \(L^2\)-subcritical growth and different types of potentials
cites work: Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
cites work: On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
cites work: On the existence of a positive solution of semilinear elliptic equations in unbounded domains
cites work: Normalized solutions of nonlinear Schrödinger equations
cites work: Normalized solutions of mass supercritical Schrödinger equations with potential
cites work: Positive solutions of some nonlinear elliptic problems in exterior domains
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Q4434430
cites work: Orbital stability of standing waves for some nonlinear Schrödinger equations
cites work: Some nonlinear elliptic problems in unbounded domains
cites work: On some Schrödinger equations with non regular potential at infinity
cites work: Positive bound state solutions for some Schrödinger-Poisson systems
cites work: Existence and multiplicity results for semilinear elliptic Dirichlet problems in exterior domains
cites work: The effect of concentrating potentials in some singularly perturbed problems
cites work: The role of planar symmetry and of symmetry constraints in the proof of existence of solutions to some scalar field equations
cites work: Action versus energy ground states in nonlinear Schrödinger equations
cites work: On the variational principle
cites work: Existence and non-existence results for semilinear elliptic problems in unbounded domains
cites work: Q4272029
cites work: Q3923023
cites work: Stable standing waves of nonlinear Schrödinger equations with potentials and general nonlinearities
cites work: Existence of solutions with prescribed norm for semilinear elliptic equations
cites work: Nonradial normalized solutions for nonlinear scalar field equations
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: Positive solutions for autonomous and non-autonomous nonlinear critical elliptic problems in unbounded domains
cites work: A First Course in Sobolev Spaces
cites work: Analysis.
cites work: Positive solutions for a class of nonlinear elliptic problems in RN
cites work: On the behaviour of the solutions for a class of nonlinear elliptic problems in exterior domains
cites work: Infinitely many positive solutions of nonlinear Schrödinger equations
cites work: Normalized solutions to mass supercritical Schrödinger equations with negative potential
cites work: Existence and orbital stability of the ground states with prescribed mass for the \(L^2\)-critical and supercritical NLS on bounded domains
cites work: The maximum principle
cites work: Existence and orbital stability/instability of standing waves with prescribed mass for the \(L^2\)-supercritical NLS in bounded domains and exterior domains
cites work: Existence of solitary waves in higher dimensions
cites work: Variational Methods
cites work: Normalized solutions of nonlinear Schrödinger equations with potentials and non-autonomous nonlinearities
cites work: Normalized solutions of mass subcritical Schrödinger equations in exterior domains
DOI: 10.1017/PRM.2023.78
description: scientific article; zbMATH DE number 7933870