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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 2019 · math.APShow all

5 papers · 2 filters

math.AP2019★ 1 cited

Blow up solutions for Sinh-Gordon equation with residual mass

Weiwei Ao, Aleks Jevnikar, Wen Yang

We are concerned with the Sinh-Gordon equation in bounded domains. We construct blow up solutions with residual mass exhibiting either partial or asymmetric blow up, i.e. where bot…

math.AP2019★ 7 cited

Existence results for a super-Liouville equation on compact surfaces

Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu

We are concerned with a super-Liouville equation on compact surfaces with genus larger than one, obtaining the first non-trivial existence result for this class of problems via min…

math.AP2019★ 6 cited

Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data

Daniele Bartolucci, Aleks Jevnikar, Youngae Lee +1

We are concerned with the mean field equation with singular data on bounded domains. Under suitable non-degeneracy conditions we prove local uniqueness and non-degeneracy of bubbli…

math.AP2019★ 4 cited

Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions

Daniele Bartolucci, Changfeng Gui, Yeyao Hu +2

We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that solutions blowing-up at the same non-degenerate blow-up set are unique. On the ot…

math.AP2019★ 8 cited

On the global bifurcation diagram of the Gel'fand problem

Daniele Bartolucci, Aleks Jevnikar

For domains of first kind [7,13] we describe the qualitative behavior of the global bifurcation diagram of the unbounded branch of solutions of the Gel'fand problem crossing the or…