An Existence Result for the Mean Field Equation on Compact Surfaces in a Doubly Supercritical Regime

Details An Existence Result for the Mean Field Equation on Compact Surfaces in a Doubly Supercritical Regime An Existence Result for the Mean Field Equation on Compact Surfaces in a Doubly Supercritical Regime

2012-04-15

arxiv.org/abs/1204.3290v1

Mathematics

Analysis of PDEs

23 pages. arXiv admin note: text overlap with arXiv:1105.3701

Scientific paper

We consider a class of variational equations with exponential nonlinearities on a compact Riemannian surface, describing the mean field equation of the equilibrium turbulance with arbitrarily signed vortices. For the first time, we consider the problem with both supercritical parameters and we give an existence result by using variational methods. In doing this, we present a new Moser-Trudinger type inequality under suitable conditions on the center of mass and the scale of concentration of both e^u and e^{-u}, where u is the unknown function in the equation.

Affiliated with

Also associated with

No associations

Rating

An Existence Result for the Mean Field Equation on Compact Surfaces in a Doubly Supercritical Regime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An Existence Result for the Mean Field Equation on Compact Surfaces in a Doubly Supercritical Regime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Existence Result for the Mean Field Equation on Compact Surfaces in a Doubly Supercritical Regime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-287892