2 papers
math.AP2024
Multiplicity results for critical fractional Ambrosetti-Prodi type system with nonlinearities interacting with the spectrum
Eduardo. H. Caqui, Sandra M. de S. Lima, Fábio R. Pereira
We investigated the existence of solutions for a class of Ambrosetti-Prodi type systems involving the fractional Laplacian operator and with nonlinearities reaching critical growth…
math.AP2019
Existence and multiplicity results for a class of non-linear Schrödinger equations with magnetic potential involving sign-changing non linearity
Francisco Odair Vieira de Paiva, Sandra Machado de Souza Lima, Olimpio Hiroshi Miyagaki
In this work we consider the following class of elliptic problems $$- Δ_A u + u = a(x) |u|^{q-2}u+b(x) |u|^{p-2}u , \mbox{ in } \mathbb{R}^N, $$ , with $…