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arXiv · 1605.05895

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

Tonia Ricciardi·Gabriella Zecca
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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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Tonia Ricciardi, Gabriella Zecca. 2016-05-19. Minimal blow-up masses and existence of solutions for an asymmetric sinh-Poisson equation. https://arxiv.org/abs/1605.05895

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