9 citations · 44 across the 14 of their papers we have counts for
14 papers
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…
Geometric analysis of the Yang-Mills-Higgs-Dirac model
Jürgen Jost, Enno Keßler, Ruijun Wu +1
The harmonic sections of the Kaluza-Klein model can be seen as a variant of harmonic maps with additional gauge symmetry. Geometrically, they are realized as sections of a fiber bu…
Self-gravitational Force Calculation of High-Order Accuracy for Infinitesimally Thin Gaseous Disks
Hsiang-Hsu Wang, Ming-Cheng Shiue, Rui-Zhu Wu +1
Self-gravitational force calculation for infinitesimally thin disks is important for studies on the evolution of galactic and protoplanetary disks. Although high-order methods have…
From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory. At the interface of theoretical physics, Riemannian geometry and nonlinear analysis
Jürgen Jost, Enno Keßler, Jürgen Tolksdorf +2
Harmonic maps from Riemann surfaces arise from a conformally invariant variational problem. Therefore, on one hand, they are intimately connected with moduli spaces of Riemann surf…
Partial Regularity for a Nonlinear Sigma Model with Gravitino in Higher Dimensions
Jürgen Jost, Ruijun Wu, Miaomiao Zhu
We study the regularity problem of the nonlinear sigma model with gravitino fields in higher dimensions. After setting up the geometric model, we derive the Euler--Lagrange equatio…
Symmetries and conservation laws of a nonlinear sigma model with gravitino
Jürgen Jost, Enno Keßler, Jürgen Tolksdorf +2
We show that the action functional of the nonlinear sigma model with gravitino considered in a previous article [18] is invariant under rescaled conformal transformations, super We…
Energy quantization for a nonlinear sigma model with critical gravitinos
Jürgen Jost, Ruijun Wu, Miaomiao Zhu
We study some analytical and geometric properties of a two-dimensional nonlinear sigma model with gravitino which comes from supersymmetric string theory. When the action is critic…
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…