Multiple concentrating solutions for a fractional Kirchhoff equation with magnetic fields
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Publication:2281597
DOI10.3934/dcds.2020062zbMath1428.35657arXiv1808.09295OpenAlexW2982966811MaRDI QIDQ2281597
Publication date: 3 January 2020
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.09295
PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)
Related Items (11)
The Kirchhoff-type diffusion problem driven by a magnetic fractional Laplace operator ⋮ Ground state solution for a nonlinear fractional magnetic Schrödinger equation with indefinite potential ⋮ Concentration phenomena for fractional magnetic NLS equations ⋮ Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations ⋮ On degenerate fractional Schrödinger–Kirchhoff–Poisson equations with upper critical nonlinearity and electromagnetic fields ⋮ Properties of minimizers for the fractional Kirchhoff energy functional ⋮ Multiplicity and concentration results for fractional Kirchhoff equation with magnetic field ⋮ Existence of entire solutions for critical Sobolev–Hardy problems involving magnetic fractional operator ⋮ On a class of Kirchhoff problems via local mountain pass ⋮ Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces ⋮ Non-degeneracy of positive solutions for fractional Kirchhoff problems: high dimensional cases
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