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math.AP2022
Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface
Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada +2
In this note we present an obstruction to the existence of solutions to the self-dual Einstein-Maxwell-Higgs equations on a compact surface, which depends on the multiplicities of…
math.AP2015
estimates and existence results for certain nonconcave PDE
Vamsi P. Pingali
We establish estimates for PDE of the form convex a sum of weakly concave functions of the Hessian, thus generalising a recent result of Collins which is in turn insp…