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arxiv: 1605.05895 · v1 · pith:SVNS6GCSnew · submitted 2016-05-19 · 🧮 math.AP

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

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keywords asymmetricblow-upmassessinh-poissonsolutionstypeapplybounds
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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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