Weak Solutions for a Quasiliner Elliptic Problem Involving Nonlinear Boundary Condition of P-Laplacian Type
Journal Title: Caspian Journal of Applied Sciences Research - Year 2012, Vol 1, Issue 10
Abstract
In this paper we prove the existence of nontrivial nonnegative solutions for a quasilinear elliptic problem involving nonlinear boundary condition of the form: {█(-∆_p u(x)+u(x)=λh(x) |u|^(r-1) u, in Ω@∂u⁄∂n=g(x) |u|^(s-1) u, on Ω )┤ in W^(1,p) (Ω) where λ is a real parameter, Ω is a bounded domain with smooth boundary in R^N, N≥3, and 1<r<p-1<s<(Np-N+p)/(N-p).
Authors and Affiliations
Somaye Khademloo, Hamid Mohammadnia Afrouzi
Keywords
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