BIRS Workshop Lecture Videos
Steady states of maximal entropy under prescribed mass and energy (with D. Bartolucci) Wolansky, Gershon
We consider a non-local elliptic equation of exponential nonlinearity. The motivation for this equation is a variational problem for entropy maximization under prescribed mass and energy. We provide an unconditional existence and uniqueness proof in case of electrostatic (repulsive) self-interaction, and conditional existence and uniqueness in dimension two in the case of gravitational (attractive) self-interaction.
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