Abstract
In this paper, we will analyze the blow-up behaviors for solutions to the Laplacian equation with exponential Neumann boundary condition. In particular, the boundary value is with a kind of singular data. We show a Brezis–Merle type concentration-compactness theorem, calculate the blow up value at the blow-up point, and give a point-wise estimate for the profile of the solution sequence at the blow-up point.
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The second author is supported by NSFC (Grant No. 11771285)
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Zhang, T., Zhou, C.Q. Asymptotical Behaviors for Neumann Boundary Problem with Singular Data. Acta. Math. Sin.-English Ser. 35, 463–480 (2019). https://doi.org/10.1007/s10114-019-7423-8
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DOI: https://doi.org/10.1007/s10114-019-7423-8