David Ruiz

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math.AP2009

Positive and sign-changing clusters around saddle points of the potential for nonlinear elliptic problems

Teresa D'Aprile, David Ruiz

We study the existence of positive and sign-changing multipeak solutions for the stationary Nonlinear Schroedinger Equation. Here no symmetry on $V$ is assumed. It is known that th…

math.AP2009

Ground and bound states for a static Schrodinger-Poisson-Slater problem

Isabella Ianni, David Ruiz

In this paper the following version of the Schrodinger-Poisson-Slater problem is studied: $- Δ u + (u^{2} ⋆ \frac{1}{∣4 π x ∣}) u = μ ∣ u ∣^{p - 1} u,$ where $u : R^{3} \to R$ and $μ > 0$ .…

math.AP2009

Cluster solutions for the Schrodinger-Poisson-Slater problem around a local minimum of the potential

David Ruiz, Giusi Vaira

In this paper we consider the system in $R^{3}$ \label{problemadipartenza0} -\e^2Δu+V(x)u+ϕ(x)u=u^{p},