4 papers
Mixed local-nonlocal quasilinear problems with critical nonlinearities
João Vitor da Silva, Alessio Fiscella, Victor A. Blanco Viloria
We study existence and multiplicity of nontrivial solutions of the following problem $$ \left\{ \begin{array}{rcll} -Δ_p u+(-Δ_p)^{s} u & = & λ|u|^{q-2}u+|u|^{p^{\ast}-2}u & \mbox{…
Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting
Alessio Fiscella, Greta Marino, Andrea Pinamonti +1
This paper deals with some classes of Kirchhoff type problems on a double phase setting and with nonlinear boundary conditions. Under general assumptions, we provide multiplicity r…
Multiplicity results for fractional Laplace problems with critical growth
Alessio Fiscella, Giovanni Molica Bisci, Raffaella Servadei
This paper deals with multiplicity and bifurcation results for nonlinear problems driven by the fractional Laplace operator and involving a critical Sobolev term. In parti…
Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
Giuseppina Autuori, Alessio Fiscella, Patrizia Pucci
This paper deals with the existence and the asymptotic behavior of non-negative solutions for a class of stationary Kirchhoff problems driven by a fractional integro-differential o…