Groundstates for Choquard type equations with weighted potentials and Hardy-Littlewood-Sobolev lower critical exponent

DOI10.1515/anona-2020-0186zbMath1473.35249OpenAlexW3175689047MaRDI QIDQ1983839

Shuai Zhou, Zhisu Liu, Jian Jun Zhang

Publication date: 10 September 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0186

zbMATH Keywords

critical growthexistence of ground statesChoquard-type equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (6)

Multiplicity of concentrating solutions for Choquard equation with critical growth ⋮ On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity ⋮ Multiple solutions to a transmission problem with a critical Hardy-Sobolev exponential source term ⋮ Multibump positive solutions for Choquard equation with double potentials in ℝ3$$ {\mathrm{\mathbb{R}}}^3 $$ ⋮ Normalized solutions to lower critical Choquard equation with a local perturbation ⋮ Ground states of coupled critical Choquard equations with weighted potentials

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