A mean field type flow part I: compactness of solutions to a perturbed mean field type equation

作者:Casteras Jean Baptiste*
来源:Calculus of Variations and Partial Differential Equations, 2015, 53(1-2): 221-246.
DOI:10.1007/s00526-014-0746-5

摘要

We initiate the study of an evolution problem associated to a mean field type equation. In the present paper, we give a compactness result for solutions of a perturbed mean field type equation. Our method is based on blow-up analysis relying on integral estimates. This result will be used in Casteras (2013) to prove the convergence of a flow associated to a mean field type equation.

  • 出版日期2015-5