2 papers
math.AP2020
Groundstates and infinitely many high energy solutions to a class of nonlinear Schrödinger-Poisson systems
Tomas Dutko, Carlo Mercuri, Teresa Megan Tyler
We study a nonlinear Schrödinger-Poisson system which reduces to the nonlinear and nonlocal equation \[- Δu+ u + λ^2 \left(\frac{1}{ω|x|^{N-2}}\star ρu^2\right) ρ(x) u = |u|^{q-1}…
math.AP2018
On a class of nonlinear Schrödinger-Poisson systems involving a nonradial charge density
Carlo Mercuri, Teresa Megan Tyler
In the spirit of the classical work of P. H. Rabinowitz on nonlinear Schrödinger equations, we prove existence of mountain-pass solutions and least energy solutions to the nonlinea…