Convergence from power-law to logarithm-law in nonlinear scalar field equations
type: Item
instance of: scholarly article
title: Convergence from power-law to logarithm-law in nonlinear scalar field equations
zbMATH Open document ID: 1406.35372
author: Xianqiang Yang
published in: Archive for Rational Mechanics and Analysis
publication date: 2019-01-02T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 6997169
zbMATH Keywords: power-law nonlinear scalar field equations
zbMATH Keywords: logarithmic-law scalar field equations
zbMATH Keywords: logarithmic Sobolev inequality
zbMATH Keywords: nonlinear Schrödinger equations
MaRDI profile type: Publication
full work available at URL: s00205-018-1270-0
OpenAlex ID: W2808062427
cites work: Gross's Logarithmic Sobolev Inequality: A Simple Proof
cites work: Morse index of some min-max critical points. I. Application to multiplicity results
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Nonlinear scalar field equations. II: Existence of infinitely many solutions
cites work: Orbital stability of standing waves for some nonlinear Schrödinger equations
cites work: ON THE LOGARITHMIC SCHRÖDINGER EQUATION
cites work: The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality.
cites work: Monotonicity properties for ground states of the scalar field equation
cites work: Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
cites work: Symmetry and related properties via the maximum principle
cites work: Elliptic partial differential equations of second order
cites work: Logarithmic Sobolev Inequalities
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: Q3749777
cites work: On a class of nonlinear Schrödinger equations
cites work: Uniqueness of ground states for quasilinear elliptic equations
cites work: Schrödinger semigroups
cites work: Multiple solutions to logarithmic Schrödinger equations with periodic potential
cites work: Some inequalities satisfied by the quantities of information of Fisher and Shannon
cites work: Existence of solitary waves in higher dimensions
cites work: Multi-bump solutions for logarithmic Schrödinger equations
cites work: Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation
cites work: Logarithmic Sobolev Inequalities for the Heat-Diffusion Semigroup
cites work: Logarithmic nonlinearity in theories of quantum gravity: origin of time and observational consequences
cites work: Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels
DOI: 10.1007/S00205-018-1270-0
description: scientific article; zbMATH DE number 6997169