Ground states and multiple solutions for Choquard-Pekar equations with indefinite potential and general nonlinearity

DOI10.1016/j.jmaa.2021.125143zbMath1465.35248OpenAlexW3139492372MaRDI QIDQ2020481

Shuai Yuan, Lizhen Lai, Dongdong Qin, Qingfang Wu

Publication date: 23 April 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125143

zbMATH Keywords

existence of solutionsvariational methodsChoquard-Pekar equation

Mathematics Subject Classification ID

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

Related Items

Ground state solutions and infinitely many solutions for a nonlinear Choquard equation ⋮ Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential ⋮ Existence and concentration of ground-states for fractional Choquard equation with indefinite potential ⋮ Strongly indefinite Choquard equation in ℝ2 with critical exponential growth ⋮ Infinitely many solutions for \(p\)-fractional Choquard type equations involving general nonlocal nonlinearities with critical growth via the concentration compactness method ⋮ Existence of solutions for the \(( p , q )\)-Laplacian equation with nonlocal Choquard reaction ⋮ Ground state solutions and periodic solutions with minimal periods to second-order Hamiltonian systems ⋮ Existence and asymptotic behavior of ground states for Choquard-Pekar equations with Hardy potential and critical reaction

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