2 citations · 2 across the 6 of their papers we have counts for
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Extremals for singular Onofri type inequality in weighted Sobolev spaces
Natalino Borgia, Silvia Cingolani, Rubén Fiñana Aranega +1
The -dimensional Euclidean Onofri inequality was proved by Del Pino and Dolbeault for smooth compactly supported functions in with . In this paper, we co…
Ground state solutions for Hartree type equations driven by superposition operators and Pohozaev Identity
Alessandro Cannone, Silvia Cingolani, Serena Dipierro
We investigate Hartree-type equations driven by a nonlocal operator , defined as a superposition of fractional Laplacians through a signed Borel measure . Under B…
Asymptotic behavior of solutions for the nonlinear Hartree equation involving the fractional Laplacian
Natalino Borgia, Silvia Cingolani, Minbo Yang +1
In this paper, we investigate the nonlocal problem \begin{equation*}\left\lbrace \begin{aligned} &A_{s} u=(|x|^{-(n-2s)}\ast u^{2_{s}^{\sharp}-1-ε})u^{2_{s}^{\sharp}-2-ε} \quad\qua…
Uniform -boundedness for solutions of anisotropic quasilinear systems
Natalino Borgia, Silvia Cingolani, Giuseppina Vannella
In this paper we obtain uniformly locally -estimate of solutions to non-autonomous quasilinear system involving operators in divergence form and a family of nonlinearit…
On the de Thélin eigenvalue problem and Landesman-Lazer conditions for quasilinear systems
David Arcoya, Natalino Borgia, Silvia Cingolani
In this paper we prove that the smallest eigenvalue of the eigenvalue problem for a quasilinear elliptic systems introduced by de Thélin in \cite{DT}, is not only simple (in…
Qualitative properties of single blow-up solutions for nonlinear Hartree equation with slightly subcritical exponent
Alessandro Cannone, Silvia Cingolani, Minbo Yang +1
In this paper, we study the qualitative properties of single blow-up solutions to the nonlocal equations with slightly subcritical exponents \begin{equation*} -Δu=(|x|^{-(n-2)}\ast…
Polyharmonic Nonlinear Scalar Field Equations
Alessandro Cannone, Silvia Cingolani, Jarosław Mederski
In this paper, we present a result on the existence of ground state solutions for the polyharmonic nonlinear equation , assuming that has a general subcritical g…
A sharp threshold for Trudinger-Moser type inequalities with logarithmic kernels in dimension N
Alessandro Cannone, Silvia Cingolani
In the paper we investigate Trudinger-Moser type inequalities in presence of logarithmic kernels in dimension N. A sharp threshold, depending on N, is detected for the existence of…
On the equivalence between an Onofri-type inequality by Del Pino-Dolbeault and the sharp logarithmic Moser-Trudinger inequality
Natalino Borgia, Silvia Cingolani, Gabriele Mancini
In this paper we consider the -dimensional Euclidean Onofri inequality proved by del Pino and Dolbeault for smooth compactly supported functions in , . W…