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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A Neumann problem with logarithmic nonlinearity in a ball

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Author(s):
de Queiroz, Olivaine Santana [1]
Total Authors: 1
Affiliation:
[1] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083970 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 70, n. 4, p. 1656-1662, FEB 15 2009.
Web of Science Citations: 6
Abstract

The nonlinear elliptic problem -Delta u = logu + h(x)u(p) in a ball B(R) subset of R(n) with Neumann boundary conditions partial derivative(nu)u = 0 on partial derivative B(R) were Studied. By means of a double perturbation argument, we obtain a positive radial solution u is an element of C(2)((B) over bar (R)\textbackslash{}[0]) boolean AND C((B) over bar (R)). (C) 2008 Elsevier Ltd. All rights reserved. (AU)