Quantization of the Blow-Up Value for the Liouville Equation with Exponential Neumann Boundary Condition

Abstract

In this paper, we analyze the asymptotic behavior of solution sequences of the Liouville-type equation with Neumann boundary condition. In particular, we will obtain a sharp mass quantization result for the solution sequences at a blow-up point.

Keywords

Neumann problem / Concentration–compactness phenomena / Blow-up behaviors / Mass quantization

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Funding

NSFC of China(11771285)