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math.AP2021★ 5 cited
Generalized linking-type theorem with applications to strongly indefinite problems with sign-changing nonlinearities
Federico Bernini, Bartosz Bieganowski
We show the linking-type result which allows us to study strongly indefinite problems with sign-changing nonlinearities. We apply the abstract theory to the singular Schrödinger eq…
math.AP2021★ 3 cited
Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree-Fock theory
Federico Bernini, Bartosz Bieganowski, Simone Secchi
We are interested in the general Choquard equation \begin{multline*} \sqrt{\strut -Δ+ m^2} \ u - mu + V(x)u - \fracμ{|x|} u = \left( \int_{\mathbb{R}^N} \frac{F(y,u(y))}{|x-y|^{N-α…