326 citations
- Max Planck SocietyDE157 papers
- Max Planck Institute for Mathematics in the SciencesDE47 papers
- Capital Normal UniversityCN14 papers
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Showing 2007 · math.DGShow all
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math.DG2007
Metrics of constant curvature on a Riemann surface with two corners on the boundary
Juergen Jost, Guofang Wang, Chunqin Zhou
We use PDE methods as developed for the Liouville equation to study the existence of conformal metrics with prescribed singularities on surfaces with boundary, the boundary conditi…
math.DG2007
Nonlinear Dirac equations on Riemann surfaces
Qun Chen, Juergen Jost, Guofang Wang
We develop analytical methods for nonlinear Dirac equations. Examples of such equations include Dirac-harmonic maps with curvature term and the equations describing the generalized…
math.DG2007
Extremals for the Sobolev inequality on the seven dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem
Stefan Ivanov, Ivan Minchev, Dimiter Vassilev
A complete solution to the quaternionic contact Yamabe problem on the seven dimensional sphere is given. Extremals for the Sobolev inequality on the seven dimensional Hesenberg gro…