Nonlinear elliptic–parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent

We consider the nonlinear elliptic–parabolic boundary value problem involving the Dirichlet-to-Neumann operator of p-Laplace type at the critical Sobolev exponent. We first obtain the existence and asymptotic estimates of the global solution, and the sufficient conditions of finite time blowup of th...

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Bibliographic Details
Main Authors: Deng Yanhua, Tan Zhong, Xie Minghong
Format: Article
Language:English
Published: De Gruyter 2023-03-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2022-0306