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math.AP2013
Multiplicity of positive solutions of nonlinear Schrödinger équations concentrating at a potential well
Silvia Cingolani, Louis Jeanjean, Kazunaga Tanaka
We consider singularly perturbed nonlinear Schrödinger equations \be \label{eq:0.1} - \varepsilon^2 Δu + V(x)u = f(u), \ \ u > 0, \ \ v \in H^1(\R^N) \ee where …
math.AP2013
Multiple -orbits for the Schrödinger-Newton system
Silvia Cingolani, Simone Secchi
We prove existence and multiplicity of symmetric solutions for the \emph{Schrödinger-Newton system} in three dimensional space using equivariant Morse theory.