Title of article
Weak Solutions for a Quasiliner Elliptic Problem Involving Nonlinear Boundary Condition of P-Laplacian Type
Author/Authors
خادملو، سميه نويسنده Department of Basic Sciences, Babol University of Technology, 4714871167, Babol, Iran Khademloo, Somaye , محمدنيا افروز، حميد نويسنده Department of Mathematics, Islamic Azad University, Jouybar Branch, Jouybar, Iran Mohammadnia Afrouzi, Hamid
Issue Information
روزنامه با شماره پیاپی 0 سال 2012
Pages
8
From page
11
To page
18
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)=?h(x) |u|^(r-1) u, in ?@?u??n=g(x) |u|^(s-1) u, on ? )?
in W^(1,p) (?) where ? is a real parameter, ? is a bounded domain with smooth boundary in R^N, N?3, and 1 < r < p-1 < s < (Np-N+p)/(N-p).
Journal title
Caspian Journal of Applied Sciences Research
Serial Year
2012
Journal title
Caspian Journal of Applied Sciences Research
Record number
681453
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