A unique weak solution for a kind of coupled system of fractional Schrödinger equations

DOI10.7494/OpMath.2020.40.3.313zbMath1437.35688MaRDI QIDQ5106719

Fatemeh Abdolrazaghi, Abdolrahman Razani

Publication date: 22 April 2020

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

weak solutionuniquenessnonlinear systemsfractional Laplacian

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Weak solutions to PDEs (35D30) Control/observation systems governed by ordinary differential equations (93C15) Fractional partial differential equations (35R11)

Related Items (10)

Existence of ground state for fractional Kirchhoff equation with \(L^2\) critical exponents ⋮ Fractional operators with homogeneous kernels in weighted Herz spaces with variable exponent ⋮ A nonlinear fractional Rayleigh-Stokes equation under nonlocal integral conditions ⋮ Monotone iterative schemes for positive solutions of a fractional differential system with integral boundary conditions on an infinite interval ⋮ A unique weak solution for the fractional integro-differential Schrödinger equations ⋮ A system of high-order fractional differential equations with integral boundary conditions ⋮ Existence and concentration behavior of ground states for a generalized quasilinear Choquard equation involving steep potential well ⋮ Global solutions of a fractional semilinear pseudo-parabolic equation with nonlocal source ⋮ Solving elliptic Schrödinger systems with control constraints ⋮ Negative energy solutions for a new fractional \(p(x)\)-Kirchhoff problem without the (AR) condition

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