Existence and concentration of ground state solutions for Choquard equations involving critical growth and steep potential well

DOI10.1016/j.na.2020.111997zbMath1448.35223OpenAlexW3035088874MaRDI QIDQ2201742

Yong-Yong Li, Chun-Lei Tang, Gui-Dong Li

Publication date: 17 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111997

zbMATH Keywords

ground state solutionconcentrationChoquard equationsteep potential wellupper critical growth

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (7)

Radial ground state solutions for Choquard equations with Hardy-Littlewood-Sobolev lower critical growth ⋮ Existence and concentration of ground state solutions for critical Kirchhoff-type equation involving Hartree-type nonlinearities ⋮ Existence and concentration of solutions for Choquard equations with steep potential Well and doubly critical exponents ⋮ Existence and concentration behavior of ground states for a generalized quasilinear Choquard equation involving steep potential well ⋮ Positive ground state solutions for Choquard equations with lower critical exponent and steep well potential ⋮ Limit behavior of ground states of 2D binary BECs in steep potential wells ⋮ Multiplicity of solutions for a class of upper critical Choquard equation with steep potential well

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