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Minimal blow‐up masses and existence of solutions for an asymmetric sinh‐Poisson equation
Author(s) -
Ricciardi Tonia,
Zecca Gabriella
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600215
Subject(s) - mathematics , type (biology) , poisson distribution , hyperbolic function , torus , mathematical analysis , geometry , statistics , ecology , biology
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.