5 citations · 5 across the 1 of their papers we have counts for
9 papers
Min-max solutions for super sinh-Gordon equations on compact surfaces
Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu
In the present paper we initiate the variational analysis of a super sinh-Gordon system on compact surfaces, yielding the first example of non-trivial solution of min-max type. The…
Existence results for super-Liouville equations on the sphere via bifurcation theory
Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu
We are concerned with super-Liouville equations on the two sphere, which have variational structure with a strongly-indefinite functional. We prove the existence of non-trivial sol…
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…
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…
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…
Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains
Daniele Bartolucci, Aleks Jevnikar, Chang-Shou Lin
The aim of this paper is to complete the program initiated in [50], [23] and then carried out by several authors concerning non-degeneracy and uniqueness of solutions to mean field…