From the 1 of 10 linked papers with an AI index.
10 papers
Qualitative bifurcation diagram for Grad-Shafranov type equations
Daniele Bartolucci, Guangze Gu, Aleks Jevnikar +2
The paper investigates qualitative properties of solutions to Grad‑Shafranov type equations, providing conditions for uniqueness, monotonicity and non‑existence of free boundaries…
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…
Sharp spectral estimates for free boundary problems arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei +1
We derive a sharp spectral estimate for a superlinear free boundary problem arising in plasma physics. The semilinear equation is coupled with a constraint, which forces the analys…
The Rabinowitz continuum of subcritical Gelfand problems and free boundary-type equations arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei +1
The qualitative behavior of the Rabinowitz unbounded continuum of subcritical Gelfand problems is well known on balls in any dimension. We don't know of any such sharp and detailed…
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…