Differential and Integral Equations

Mountain-pass solutions for a mean field equation from two-dimensional turbulence

Tonia Ricciardi

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Using Struwe's "monotonicity trick" and the recent blow-up analysis of Ohtsuka and Suzuki, we prove the existence of mountain-pass solutions to a mean field equation arising in two-dimensional turbulence.

Article information

Differential Integral Equations, Volume 20, Number 5 (2007), 561-575.

First available in Project Euclid: 20 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J60: Nonlinear elliptic equations
Secondary: 35J20: Variational methods for second-order elliptic equations 47J30: Variational methods [See also 58Exx] 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)


Ricciardi, Tonia. Mountain-pass solutions for a mean field equation from two-dimensional turbulence. Differential Integral Equations 20 (2007), no. 5, 561--575. https://projecteuclid.org/euclid.die/1356039443

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