Carlo Mercuri

Positive solutions of nonlinear Schrödinger–Poisson systems with radial potentials vanishing at infinity

We deal with a weighted nonlinear Schrodinger-Poisson system, allowing the potentials to vanish at infinity.

Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency

We study the nonlocal Schrödinger–Poisson–Slater type equation

A Regularity Result for the p-Laplacian Near Uniform Ellipticity

\begin{aligned} - \Delta u + (I_\alpha *\vert u\vert ^p)\vert u\vert ^{p - 2} u= \vert u\vert ^{q-2}u\quad \text {in}\quad \mathbb {R}^N, \end{aligned}

A Global Compactness Result for the P-laplacian Involving Critical Nonlinearities

-Δu+(Iα∗|u|p)|u|p-2u=|u|q-2uinRN,where

On Coron's problem for the p-Laplacian

N\in \mathbb {N}

Foliations of small tubes in Riemannian manifolds by capillary minimal discs

N∈N,