Ground state solutions of Nehari–Pohozaev type for Kirchhoff-type problems with general potentials

By Xianhua Tang, Sitong Chen. Calculus of Variations and Partial Differential Equations, 2017

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Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity (2018, methodology): “(1.2) When α = 2, V(x) ≡ 1 and f(u) = u, (1.2) is known as the Choquard–Pekar equation or the stationary nonlinear Hartree equation, which was introduced in 1954, in a work by Pekar [29] describing the quantum Sitong Chen, Xianhua Tang, School of Mathematics and Statistics, Central South University,”
On double phase Kirchhoff problems with singular nonlinearity (2021, methodology): “This method has become a very powerful tool and has been used, for example, in the works of Chen-Kuo-Wu [9] (for degenerate Kirchhoff Laplacian problems with sign-changing weight), Fiscella-Mishra [22] (for fractional Kirchhoff problems), Kumar-Rădulescu-Sreenadh [32] (for critical (p, q)-equations)”