Sharp constant of an improved Gagliardo-Nirenberg inequality and its application

DOI10.1007/s10231-010-0152-3zbMath1217.35170OpenAlexW2014536028MaRDI QIDQ540731

Jianqing Chen, Bo-ling Guo

Publication date: 3 June 2011

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-010-0152-3

zbMATH Keywords

global solutionssharp constantsimproved inequality of interpolationinhomogeneous Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

Instability of standing waves for a class of inhomogeneous Schrödinger equations with harmonic potential ⋮ Fractional interpolation inequality and radially symmetric ground states ⋮ Long time dynamics and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with spatially growing nonlinearity ⋮ Long‐time dynamics for the radial focusing fractional INLS ⋮ Stability and multiplicity of standing waves for the inhomogeneous NLS equation with a harmonic potential ⋮ Sharp constants in Riemannian \(L^p\)-Gagliardo-Nirenberg inequalities ⋮ Asymptotics for a class of heat equations with inhomogeneous nonlinearity ⋮ Schrödinger equations with combined non-linearity ⋮ \(L^2\) normalized solutions for nonlinear Schrödinger systems in \(\mathbb{R}^3\) ⋮ Remarks on the inhomogeneous fractional nonlinear Schrödinger equation

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