most citedConcentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2023

Positive solutions to nonlinear elliptic problems involving Sobolev exponent

Carlo Mercuri, Riccardo Molle

In this paper we consider nonlinear elliptic PDEs of the type $$-Δ_p u+a(x)|u|^{p-2}u=|u|^{p^*-2}u \qquad \mbox{ in }Ω,$$ where and is the critical Sobolev e…

math.AP2012

On the pure critical exponent problem for the -Laplacian

Carlo Mercuri, Filomena Pacella

In this paper we prove existence and multiplicity of positive and sign-changing solutions to the pure critical exponent problem for the -Laplacian operator with Dirichlet bounda…

math.AP2010★ 1 cited

Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity

Denis Bonheure, Jonathan Di Cosmo, Carlo Mercuri

The present paper is devoted to weighted Nonlinear Schrödinger- Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, w…