Existence Results for Quasilinear Elliptic Equations with Multivalued Nonlinear Terms

In this paper we study the existence of solutions u ∈ W1,p0(Ω) with △pu ∈ L2(Ω) for the Dirichlet problem {−△pu(x)∈−∂Φ(u(x))+G(x,u(x)),x∈Ω,u∣∂Ω=0, (1) where Ω ⊆ RN is a bounded open set with boundary ∂Ω, △p stands for the p−Laplace differential operator, ∂Φ denotes the subdifferential (in the sense...

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Bibliographic Details
Main Author: Otani, Mitsuharu (author)
Other Authors: Staicu, Vasile (author)
Format: article
Language:eng
Published: 1000
Subjects:
Online Access:http://hdl.handle.net/10773/18732
Country:Portugal
Oai:oai:ria.ua.pt:10773/18732