5 citations · 11 across the 4 of their papers we have counts for
7 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…
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…
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…