Minimal blow-up masses and existence of solutions for an asymmetric sinh-Poisson equation

2016/05/19 by Ricciardi, Tonia, Zecca, Gabriella
#35B44 #35J20 #35J61 #35R01 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.05895

Abstract

For a sinh-Poisson type problem with asymmetric exponents of interest in hydrodynamic turbulence, we establish the optimal lower bounds for the blow-up masses. We apply this result to construct solutions of mountain pass type on two-dimensional tori.

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