15 citations · 46 across the 18 of their papers we have counts for
19 papers
Critical double phase problems involving sandwich-type nonlinearities
Csaba Farkas, Alessio Fiscella, Ky Ho +1
In this paper we study problems with critical and sandwich-type growth represented by \begin{align*} -\operatorname{div}\Big(|\nabla u|^{p-2}\nabla u + a(x)|\nabla u|^{q-2}\nabla u…
Critical -fractional problems involving a sandwich type nonlinearity
Mousomi Bhakta, Alessio Fiscella, Shilpa Gupta
In this paper, we deal with the following -fractional problem $$ (-Δ)^{s_{1}}_{p}u +(-Δ)^{s_{2}}_{q}u=λP(x)|u|^{k-2}u+θ|u|^{p_{s_{1}}^{*}-2}u \, \mbox{ in }\, Ω,\qquad u=0\,…
Mixed local-nonlocal quasilinear problems with critical nonlinearities
João Vitor da Silva, Alessio Fiscella, Victor A. Blanco Viloria
We study existence and multiplicity of nontrivial solutions of the following problem $$ \left\{ \begin{array}{rcll} -Δ_p u+(-Δ_p)^{s} u & = & λ|u|^{q-2}u+|u|^{p^{\ast}-2}u & \mbox{…
Existence of ground state solutions for a Choquard double phase problem
Rakesh Arora, Alessio Fiscella, Tuhina Mukherjee +1
In this paper we study quasilinear elliptic equations driven by the double phase operator involving a Choquard term of the form \begin{align*} -\mathcal{L}_{p,q}^{a}(u) + |u|^{p-2}…
Fractional double phase Robin problem involving variable order-exponents and Logarithm-type nonlinearity
Reshmi Biswas, Anouar Bahrouni, Alessio Fiscella
In this paper, we study the existence of solutions for the new fractinal Robin equations with variable exponents. Moreover, we deal with the logarithm-type nonlinearity. In particu…
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…
On double phase Kirchhoff problems with singular nonlinearity
Rakesh Arora, Alessio Fiscella, Tuhina Mukherjee +1
In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcr…
On a class of critical double phase problems
Csaba Farkas, Alessio Fiscella, Patrick Winkert
In this paper we study a class of double phase problems involving critical growth, namely $-\text{div}\big(|\nabla u|^{p-2} \nabla u+ μ(x) |\nabla u|^{q-2} \nabla u\big)=λ|u|^{\var…
Singular Finsler double phase problems with nonlinear boundary condition
Csaba Farkas, Alessio Fiscella, Patrick Winkert
In this paper we study a singular Finsler double phase problem with a nonlinear boundary condition and perturbations that have a type of critical growth, even on the boundary. Base…
A double phase problem involving Hardy potentials
Alessio Fiscella
In this paper, we deal with the following double phase problem $$ \left\{\begin{array}{ll} -\mbox{div}\left(|\nabla u|^{p-2}\nabla u+a(x)|\nabla u|^{q-2}\nabla u\right)= γ\left(\di…
Existence and multiplicity results for Kirchhoff type problems on a double phase setting
Alessio Fiscella, Andrea Pinamonti
In this paper, we study two classes of Kirchhoff type problems set on a double phase framework. That is, the functional space where finding solutions coincides with the Musielak-Or…
A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
Alessio Fiscella
In this paper we consider the following critical nonlocal problem $$ \left\{\begin{array}{ll} M\left(\displaystyle\iint_{\mathbb{R}^{2N}}\frac{|u(x)-u(y)|^2}{|x-y|^{N+2s}}dxdy\righ…
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…
Infinitely many solutions for a critical Kirchhoff type problem involving a fractional operator
Alessio Fiscella
In this paper we deal with a Kirchhoff type problem driven by a fractional nonlocal integrodifferential operator and involving a critical nonlinearity. For this pro…
Gevrey regularity for integro-differential operators
Guglielmo Albanese, Alessio Fiscella, Enrico Valdinoci
We prove for some singular kernels that viscosity solutions of the integro-differential equation loca…
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…
Blow-up for the wave equation with nonlinear source and boundary damping terms
Alessio Fiscella, Enzo Vitillaro
The paper deals with blow--up for the solutions of wave equation with nonlinear source and nonlinear boudary damping terms, posed in a bounded and regular domain. The initial data…
Saddle point solutions for non-local elliptic operators
Alessio Fiscella
The paper deals with equations driven by a non-local integrodifferential operator with homogeneous Dirichlet boundary conditions. These equations have a variational…
Local Hadamard well-posedness and blow-up for reaction-diffusion equations with non-linear dynamical boundary conditions
Alessio Fiscella, Enzo Vitillaro
The paper deals with local well-posedness, global existence and blow-up results for reaction--diffusion equations coupled with nonlinear dynamical boundary conditions.