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math.AP2023
On the global bifurcation diagram of the equation in dimension two
Daniele Bartolucci, Aleks Jevnikar, Ruijun Wu
The aim of this note is to present the first qualitative global bifurcation diagram of the equation . To this end, we introduce the notion of domains of first/sec…
math.AP2023
A Courant nodal domain theorem for linearized mean field type equations
Daniele Bartolucci, Aleks Jevnikar, Ruijun Wu
We are concerned with the analysis of a mean field type equation and its linearization, which is a nonlocal operator, for which we estimate the number of nodal domains for the radi…