G. Cerami

activity

20132018

most citedMultiple positive bound states for critical Schrödinger-Poisson systems

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2018

Infinitely many positive standing waves for Schrödinger equations with competing coefficients

Giovanna Cerami, Riccardo Molle

The paper deals with the equation $- Δ u + a (x) u + b (x) u^{q} - u^{p} = 0$ , $u \in H^{1} (R^{N})$ , whith $N \geq 2$ , $1 < q < p, p < \frac{N + 2}{N - 2}$ if $N \geq 3$ , $in f a > 0$ , $a (x) \to a_{\infty}$ and $b(x…

math.AP2018★ 1 cited

Multiple positive bound states for critical Schrödinger-Poisson systems

Giovanna Cerami, Riccardo Molle

Using variational methods we prove some results about existence and multiplicity of positive bound states of to the following Schrödinger-Poisson system: $$ \left\{ \begin{array}{l…

math.AP2015

On Some Scalar Field Equations with Competing Coefficients

Giovanna Cerami, Alessio Pomponio

This paper deals with semilinear elliptic problems of the type \[ \left\{ \begin{array}{ll} -Δu+α(x)u= β(x)|u|^{p-1}u \quad \hbox{in }\mathbb{R}^N, u(x)>0\quad\hbox{in } \mathbb{R}…

math.AP2013

Multiple Solutions for Scalar Field Equations with Potentials having "Subsidences"

Giovanna Cerami, Riccardo Molle, Donato Passaseo

In this paper the question of finding infinitely many solutions to the problem $- Δ u + a (x) u = ∣ u ∣^{p - 2} u$ , in $R^{N}$ , $u \in H^{1} (R^{N})$ , is considered when $N \geq 2$ , $…