Affiliation:
1. Universidade Federal de Campina Grande Departamento de matemática e estatística Cep:58109-970, Campina Grande - PB, Brasil
Abstract
Abstract
In this paper, we show the existence and multiplicity of solutions for the following class of quasilinear equations
−Δpu + |u|p−2u = f(u) in Ωλ, u(x) > 0 a.e in Ωλ, u = 0 on ∂ Ωλ
where Ωλ = λΩ, Ω is a bounded domain in ℝN, λ is a positive parameter, 2 ≤ p < N, f is a continuous functions, and Δpu = div(|▽u|p−2▽u) is the p-Laplacian operator. Here, we use variational method to get multiplicity of solution involving the Lusternick- Schnirelman category of B̅ ∥∂ Ω̅ in itself.
Subject
General Mathematics,Statistical and Nonlinear Physics
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