On the critical exponent for nonlinear Schrödinger equations without gauge invariance in exterior domains

DOI10.1016/j.jmaa.2018.09.009zbMath1404.35417OpenAlexW2889638906MaRDI QIDQ1798988

Mohamed Jleli, Bessem Samet

Publication date: 18 October 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.09.009

zbMATH Keywords

critical exponentSchrödinger equationexterior domain

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Weak solutions to PDEs (35D30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

First and second critical exponents for an inhomogeneous Schrödinger equation with combined nonlinearities ⋮ Nonexistence of solutions of higher-order nonlinear non-Gauge Schrödinger equation ⋮ Quasilinear Schrödinger equations with nonlinearities interacting with high eigenvalues

Cites Work

• The nonexistence of global solutions for a time fractional nonlinear Schrödinger equation without gauge invariance
• Small data blow-up of \(L^2\)-solution for the nonlinear Schrödinger equation without gauge invariance.
• Life span of solutions to a nonlocal in time nonlinear fractional Schrödinger equation
• Blow-up of solutions for semilinear fractional Schrödinger equations
• Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives
• A general blow-up result on nonlinear boundary-value problems on exterior domains
• On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains

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