Normalized solutions for a critical Hartree equation with perturbation

DOI10.1007/S12220-022-00986-0zbMath1497.35138OpenAlexW4286001777WikidataQ114220979 ScholiaQ114220979MaRDI QIDQ2158856

Weiwei Ye, Zifei Shen, Min-Bo Yang

Publication date: 26 July 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-00986-0

zbMATH Keywords

existencemountain-pass theoremnormalized solutionscritical Hartree equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Second-order elliptic equations (35J15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (9)

Normalized solutions for the fractional Choquard equations with Hardy-Littlewood-Sobolev upper critical exponent ⋮ Normalized solutions to the critical Choquard-type equations with weakly attractive potential and nonlocal perturbation ⋮ Normalized ground states for a Hardy-Littlewood-Sobolev upper critical Schrödinger equation with double Choquard type nonlinear terms ⋮ Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation ⋮ Normalized solutions for a Choquard equation with exponential growth in \(\mathbb{R}^2\) ⋮ Normalized bound states for the Choquard equations in exterior domains ⋮ Asymptotic behaviors of normalized solutions for a class of Choquard equations ⋮ Sufficient and necessary conditions for normalized solutions to a Choquard equation ⋮ Normalized solutions for scalar field equation involving multiple critical nonlinearities

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