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Quantization of the blow-up value for the Liouville equation with exponential Neumann boundary condition. (English) Zbl 1390.35027

Summary: 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.

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35J65 Nonlinear boundary value problems for linear elliptic equations
Full Text: DOI

References:

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