外部区域上p-Laplace方程的径向对称解

doi:10.16088/j.issn.1001-6600.2022120708

Abstract

Abstract: The existence of radial symmetric solutions of a class of p-Laplace equation on the exterior domain Ω={x∈R^N:x>r₀}(N≥2) is investigated in this paper. For continuous function f:R→R, unlike the previous literatures, the condition that f is nonegative is removed. Under the condition that f satisfies an appropriate inequality, an existence result of radial symmetric solutions is obtained by applying the Leray-Schauder fixed point theorem. On this basis, the uniqueness of radial symmetric solutions is discussed.

Key words: exterior domain, p-Lapace equation, radial symmetric solution, Leray-Schauder fixed point

CLC Number: O175.8

LI Pengbo, LI Yongxiang. Radial Symmetric Solutions of p-Laplace Equations on Exterior Domains[J].Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(5): 69-75.

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Radial Symmetric Solutions of p-Laplace Equations on Exterior Domains

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