Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427085 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 13 Pages |
Abstract
This paper deals with the existence of a generalized solution in W01,p(Ω) to a nonuniformly nonlinear elliptic equation of the form -div(a(x,âu))=f(x,u) in a bounded domain Ω of Rn. Here a satisfies |a(x,ξ)|⩽c0[h0(x)+h1(x)|ξ|p-1] for any ξ in Rn, a.e. xâΩ, h0âLpp-1(Ω), and h1âLloc1(Ω).
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Duong Minh Duc, Nguyen Thanh Vu,