1 citations · 3 across the 4 of their papers we have counts for
5 papers
Boundedness through nonlocal dampening effects in a fully parabolic chemotaxis model with sub and superquadratic growth
Yutaro Chiyo, Fatma Ga mze D Düzgün, Silvia Frassu +1
This work deals with a chemotaxis model where an external source involving a sub and superquadratic growth effect contrasted by nonlocal dampening reaction influences the motion of…
A clustering theorem in fractional Sobolev spaces
Fatma Gamza Düzgün, Antonio Iannizzotto, Vincenzo Vespri
We prove a general clustering result for the fractional Sobolev space : whenever the positivity set of a function in a square has measure bounded from below by a multi…
Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations
F. G. Düzgün, S. Mosconi, V. Vespri
We consider a quasilinear parabolic Cauchy problem with spatial anisotropy of orthotropic type and study the spatial localization of solutions. Assuming the initial datum is locali…
Three nontrivial solutions for nonlinear fractional Laplacian equations
Fatma Gamze Düzgün, Antonio Iannizzotto
We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three nonzero solutions. When the re…
-Dimensional Harnack Estimates
Fatma Gamze Düzgün, Ugo Gianazza, Vincenzo Vespri
Let be a non-negative super-solution to a -dimensional singular parabolic equation of -Laplacian type (). If is bounded below on a time-segment $\{y\}\times(0,…