On wave equations of the p-Laplacian type with supercritical nonlinearities

2018/07/02 by Nicholas J. Kass, Kass, Nicholas J., Mohammad A. Rammaha +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1807.00650

openalex publication_date 2018/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article focuses on a quasilinear wave equation of p-Laplacian type: u_tt - Δ_p u -Δu_t = f(u) in a bounded domain Ω⊂ ℝ³ with a sufficiently smooth boundary Γ=∂ Ω subject to a generalized Robin boundary condition featuring boundary damping and a nonlinear source term. The operator Δ_p, 2

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