F Bernini, B Bieganowski - Calculus of Variations and Partial Differential …, 2022 - Springer
We show a linking-type result which allows us to study strongly indefinite problems with sign- changing nonlinearities. We apply the abstract theory to the singular Schrödinger equation …
We are interested in a general Choquard equation− Δ+ m 2 u− m u+ V (x) u− μ| x| u=∫ RNF (y, u (y))| x− y| N− α dyf (x, u)− K (x)| u| q− 2 u under suitable assumptions on the bounded …
We show an abstract critical point theorem about existence of infinitely many critical orbits to strongly indefinite functionals with sign-changing nonlinear part defined on a dislocation …
B Bieganowski, A Konysz - Journal of Fixed Point Theory and Applications, 2023 - Springer
We are interested in the following Dirichlet problem:-Δ u+ λ u-μ u| x| 2-ν u dist (x, RN\Ω) 2= f (x, u) in Ω u= 0 on∂ Ω, on a bounded domain Ω⊂ RN with 0∈ Ω. We assume that the …