3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2024
New analytical and geometrical aspects on Trudinger-Moser type inequality in 2D
Natalino Borgia, Silvia Cingolani, Gabriele Mancini
The present survey is devoted to results on Trudinger-Moser inequalities in two dimension. We give a brief overview of the history of these celebrated inequalities and, starting fr…