The Brezis-Nirenberg type double critical problem for a class of Schrödinger-Poisson equations

DOI10.3934/era.2020125zbMath1466.35142OpenAlexW3112813094MaRDI QIDQ2030421

Fubao Zhang, Li Cai

Publication date: 7 June 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2020125

zbMATH Keywords

existencevariational methodsdouble critical exponentssystem of Schrödinger-Poisson equations

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for second-order elliptic systems (35J57)

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Semiclassical states for Schrödinger-Poisson system with Hartree-type nonlinearity ⋮ Normalized solutions of mass supercritical Kirchhoff equation with potential ⋮ On the well-posedness and stability for the fourth-order Schrödinger equation with nonlinear derivative term

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