Ground State Solutions for the Nonlinear Choquard Equation with Prescribed Mass

DOI10.1007/978-3-030-73363-6_2zbMath1475.35136OpenAlexW3172372787MaRDI QIDQ5153534

Silvia Cingolani, Kazunaga Tanaka

Publication date: 30 September 2021

Published in: Geometric Properties for Parabolic and Elliptic PDE's (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-73363-6_2

zbMATH Keywords

positive solutionsnormalized solutionsnonlinear Choquard equationnonlocal nonlinearitiesLagrange formulation

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items

Normalized saddle solutions for a mass supercritical Choquard equation, Normalized solutions to the critical Choquard-type equations with weakly attractive potential and nonlocal perturbation, On some qualitative aspects for doubly nonlocal equations, Normalized bound states for the Choquard equations in exterior domains, Semi-classical analysis around local maxima and saddle points for degenerate nonlinear Choquard equations, Sufficient and necessary conditions for normalized solutions to a Choquard equation, Normalized solutions to nonlinear scalar field equations with doubly nonlocal terms and critical exponent, Normalized solutions to lower critical Choquard equation with a local perturbation, Representation formulae for nonhomogeneous differential operators and applications to PDEs, Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities

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