一类带强制位势的p-Laplace特征值问题

Abstract

Abstract:

In this paper, we are concerned with the asymptotic behavior of solutions for a p-Laplace eigenvalue problem with coercive potentials. The bottom of the potential (The set of global minimum points of the potential) is an ellipsoid, we prove that the solutions of the problem will blow up at one of the endpoints of the major axis of the ellipsoid as the related parameter tends to a threshold value, and we also give the exact blow-up rate.

Key words: p-Laplace, Eigenvalue problem, Asymptotical behavior, Blow-up rate

CLC Number:

O175.2

Jingran He,Helin Guo,Wenqing Wang. A p-Laplace Eigenvalue Problem with Coercive Potentials[J].Acta mathematica scientia,Series A, 2021, 41(5): 1323-1332.

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References 14

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A p-Laplace Eigenvalue Problem with Coercive Potentials

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