98 citations · 695 across the 42 of their papers we have counts for
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An Ambrosetti-Prodi type result for fractional spectral problems
Vincenzo Ambrosio
We consider the following class of fractional parametric problems \begin{equation*} \left\{ \begin{array}{ll} (-Δ_{Dir})^{s} u= f(x, u)+tφ_{1}+h &\mbox{ in } Ω\\ u=0 &\mbox{ on } \…
Multiple solutions for superlinear fractional problems via theorems of mixed type
Vincenzo Ambrosio
In this paper we investigate the existence of multiple solutions for the following two fractional problems \begin{equation*} \left\{\begin{array}{ll} (-Δ_Ω)^{s} u-λu= f(x, u) &\mbo…
Periodic solutions for critical fractional problems
Vincenzo Ambrosio
We deal with the existence of -periodic solutions to the following non-local critical problem \begin{equation*} \left\{\begin{array}{ll} [(-Δ_{x}+m^{2})^{s}-m^{2s}]u=W(x)|u|^{2…
Multiplicity and concentration results for a fractional Choquard equation via penalization method
Vincenzo Ambrosio
This paper is devoted to the study of the following fractional Choquard equation $$ \varepsilon^{2s}(-Δ)^{s} u + V(x)u = \varepsilon^{μ-N}\left(\frac{1}{|x|^μ}*F(u)\right)f(u) \mbo…
Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
Vincenzo Ambrosio
By using the penalization method and the Ljusternik-Schnirelmann theory, we investigate the multiplicity of positive solutions of the following fractional Schrödinger equation $$ \…
Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity
Vincenzo Ambrosio, Pietro d'Avenia
In this paper we focus our attention on the following nonlinear fractional Schrödinger equation with magnetic field \begin{equation*} \varepsilon^{2s}(-Δ)_{A/\varepsilon}^{s}u+V(x)…