9 citations · 44 across the 14 of their papers we have counts for
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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…
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…
Existence results for a super Toda system
Aleks Jevnikar, Ruijun Wu
We solve a super Toda system on a closed Riemann surface of genus~ and with some particular spin structures. This generalizes the min-max methods and results for super Liouvil…
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…
Ground state Dirac bubbles and Killing spinors
William Borrelli, Andrea Malchiodi, Ruijun Wu
We prove a classification result for ground state solutions of the critical Dirac equation on , . By exploiting its conformal covariance, the equation can be…
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…
Coarse Regularity of Solutions to a Nonlinear Sigma-model with~~gravitino
Jürgen Jost, Ruijun Wu, Miaomiao Zhu
The regularity of weak solutions of a two-dimensional nonlinear sigma model with coarse gravitino is shown. Here the gravitino is only assumed to be in for some . The pr…