23 citations · 232 across the 109 of their papers we have counts for
4 papers · 2 filters
Concavity principles for nonautonomous elliptic equations and applications
Nouf Almousa, Claudia Bucur, Roberta Cornale +1
In the study of concavity properties of positive solutions to nonlinear elliptic partial differential equations the diffusion and the nonlinearity are typically independent of the…
Concave solutions to Finsler -Laplace type equations
Sunra Mosconi, Giuseppe Riey, Marco Squassina
We prove concavity properties for solutions to anisotropic quasi-linear equations, extending previous results known in the Euclidean case. We focus the attention on nonsmooth aniso…
Concavity properties for quasilinear equations and optimality remarks
Nouf M. Almousa, Jacopo Assettini, Marco Gallo +1
In this paper we study quasiconcavity properties of solutions of Dirichlet problems related to modified nonlinear Schrödinger equations of the type $$-{\rm div}\big(a(u) \nabla u\b…
Stein-Weiss type inequality on the upper half space and its applications
Xiang Li, Zifei Shen, Marco Squassina +1
In this paper, we establish some Stein-Weiss type inequalities with general kernels on the upper half space and study the existence of extremal functions for this inequality with t…