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On the logistic equation for the fractional p-Laplacian
Antonio Iannizzotto, Sunra Mosconi, Nikolaos S. Papageorgiou
We consider a Dirichlet type problem for a nonlinear, nonlocal equation driven by the degenerate fractional p-Laplacian, with a logistic type reaction depending on a positive param…
Parabolic Harnack estimates for anisotropic slow diffusion
Simone Ciani, Sunra Mosconi, Vincenzo Vespri
We prove a Harnack inequality for positive solutions of a parabolic equation with slow anisotropic spatial diffusion. After identifying its natural scalings, we reduce the problem…
Sobolev versus Hölder minimizers for the degenerate fractional -Laplacian
Antonio Iannizzotto, Sunra Mosconi, Marco Squassina
We consider a nonlinear pseudo-differential equation driven by the fractional -Laplacian with and (degenerate case), under Dirichlet type conditi…
Quantitative truncation estimates for fractional Hardy-Sobolev optimizers
S. A. Marano, S. Mosconi
The general stability problem of truncations for a family of functions concentrating mass at the origin is described and a concrete example in the framework of entire optimizers fo…
On the Schrödinger-Poisson system with indefinite potential and -sublinear nonlinearity
Sunra J. N. Mosconi, Shibo Liu
We consider a class of stationary Schrödinger-Poisson systems with a general nonlinearity and coercive sign-changing potential so that the Schrödinger operator is…
Harnack and pointwise estimates for degenerate or singular parabolic equations
F. G. Düzgün, S. Mosconi, V. Vespri
In this paper we give both an historical and technical overview of the theory of Harnack inequalities for nonlinear parabolic equations in divergence form. We start reviewing the e…