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5 papers · 2 filters
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…
Nonlinear problems on the Sierpiński gasket
Giovanni Molica Bisci, Dušan D. Repovš, Raffaella Servadei
This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods. More precisely, the existence…
Concentration phenomena for a fractional Schrödinger-Kirchhoff type equation
Vincenzo Ambrosio, Teresa Isernia
In this paper we deal with the multiplicity and concentration of positive solutions for the following fractional Schrödinger-Kirchhoff type equation \begin{equation*} M\left(\frac{…