1 citations · 1 across the 6 of their papers we have counts for
6 papers
Blow up and Concentration without Quantization: sharp Harnack type inequalities
Daniele Bartolucci, Paolo Cosentino, Lina Wu
Motivated by the Onsager statistical mechanics description of turbulent Euler flows with point singularities, we refine the blow up analysis for sequences of solutions of a class o…
Onsager's Mean Field Theory of Vortex Flows with Singular Sources: Blow-Up and Concentration without Quantization
Daniele Bartolucci, Paolo Cosentino, Lina Wu
Motivated by the Onsager statistical mechanics description of turbulent Euler flows with point singularities, we make a first step in the generalization of the mean field theory in…
A Harnack-type inequality for a perturbed singular Liouville Equation
Daniele Bartolucci, Paolo Cosentino, Lina Wu
Motivated by the Onsager statistical mechanics description of turbulent Euler flows with point singularities, we obtain a Harnack-type inequality for sequences of solutions of the…
Simplicity and boundary behavior of spike sequences for a superlinear problem in plasma physics
Paolo Cosentino, Francesco Malizia
We prove that spike sequences related to a nonlinear problem of Grad-Shafranov type are always simple and always converge toward interior points of the domain. This sharpens the bl…
A Harnack type inequality for singular Liouville type equations
Paolo Cosentino
We obtain a Harnack type inequality for solutions of the Liouville type equation, \begin{equation}\nonumber -Δu=|x|^{2α}K(x)e^{\displaystyle u} \qquad\text{in} \,\,\, Ω, \end{equat…
On the first eigenvalue of Liouville-type problems
Daniele Bartolucci, Paolo Cosentino, Aleks Jevnikar +1
The aim of this note is to study the spectrum of a linearized Liouville-type problem, characterizing the case in which the first eigenvalue is zero. Interestingly enough, we obtain…