The aim of this paper is to extend results from [A. Cañada, J. A. Montero and S. Villegas, Lyapunov inequalities for partial differential equations, J. Funct. Anal. 237 (2006), 1, 176–193] about Lyapunov-type inequalities for linear partial differential equations to nonlinear partial differential equations with 𝑝-Laplacian with zero Neumann or Dirichlet boundary conditions.

中文翻译：

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𝑝-Laplacian偏微分方程的Lyapunov型不等式

本文的目的是扩展[A. Cañada，J. A. Montero和S. Villegas，偏微分方程的Lyapunov不等式，J.Funct。肛门 [237（2006），1，176–193]，关于线性偏微分方程到带有𝑝-Laplacian且零Neumann或Dirichlet边界条件的非线性偏微分方程的Lyapunov型不等式。