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Infinitely Many Solutions of The Neumann Problem for Elliptic Equations Involving The p ‐Laplacian
Author(s) -
Ricceri Biagio
Publication year - 2001
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1017/s0024609301008001
Subject(s) - mathematics , p laplacian , laplace operator , neumann boundary condition , pure mathematics , mathematical analysis , boundary value problem
In this paper, we prove the existence of an unbounded sequence of weak solutions under an appropriate oscillating behaviour of ϕ for a Neumann problem of the type{d i v (∣ ∇ u ∣p − 2 ∇ u ) + λ ( x )∣ u ∣p − 2 u = ϕ ( x , u )in Ω∂ u / ∂ v = 0on ∂ Ω .
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