Normalized solutions for Schrödinger system with quadratic and cubic interactions
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Publication:2074443
DOI10.1016/j.jde.2022.01.018zbMath1484.35188arXiv2108.09461OpenAlexW4220871129MaRDI QIDQ2074443
Maoding Zhen, Xiao Luo, Wei, Juncheng, Xiao-Long Yang
Publication date: 10 February 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.09461
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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The existence and asymptotic behaviours of normalized solutions for critical fractional Schrödinger equation with Choquard term ⋮ Prescribed mass solutions to Schrödinger systems with linear coupled terms ⋮ Ground states for \(K\)-component coupled nonlinear Schrödinger equations with two types of strongly indefinite structure ⋮ Normalized ground states for Sobolev critical nonlinear Schrödinger equation in the \(L^2\)-supercritical case ⋮ Existence and multiplicity of normalized solution for the coupled elliptic system with quadratic nonlinearity ⋮ Standing waves with prescribed norm for the coupled Hartree-Fock system ⋮ Multiplicity and stability of normalized solutions to non-autonomous Schrödinger equation with mixed non-linearities ⋮ Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction ⋮ Nonlinear Schrödinger equation in the Bopp-Podolsky electrodynamics: global boundedness, blow-up and no scattering in the energy space ⋮ Existence, stability and asymptotic behaviour of normalized solutions for the Davey-Stewartson system
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