Aleks Jevnikar

activity

20122026

most citedAn Existence Result for the Mean Field Equation on Compact Surfaces in a Doubly Supercritical Regime

30 citations · 220 across the 48 of their papers we have counts for

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Showing 2023 · math.APShow all

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math.AP2023

On the global bifurcation diagram of the equation $- Δ u = μ ∣ x ∣^{2 α} e^{u}$ 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 $- Δ u = μ ∣ x ∣^{2 α} e^{u}$ . To this end, we introduce the notion of domains of first/sec…

math.AP2023

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…

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…

On the global bifurcation diagram of the equation −Δu=μ∣x∣2αeu in dimension two

On the first eigenvalue of Liouville-type problems

A Courant nodal domain theorem for linearized mean field type equations

On the global bifurcation diagram of the equation $- Δ u = μ ∣ x ∣^{2 α} e^{u}$ in dimension two