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Please use this identifier to cite or link to this item: http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12627

Title: Nonuniformly elliptic equations of p-Laplacian type
Authors: Duc D.M.
Vu N.T.
Keywords: Nontrivial solution
Nonuniform elliptic equations
p-Laplacian
Issue Date: 2005
Publisher: Nonlinear Analysis, Theory, Methods and Applications
Citation: Volume 61, Issue 8, Page 1483-1495
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,∇u))=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. x∈Ω, h0∈Lpp-1(Ω), and h1∈Lloc1(Ω). © 2005 Elsevier Ltd. All rights reserved.
URI: http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12627
ISSN: 0362546X
Appears in Collections:Articles of Universities of Vietnam from Scopus

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