Artículos de revistas
Positive solutions to a singular Neumann problem
Journal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 352, n. 1, n. 112, n. 119, 2009.
We show the existence of positive solution for the following class of singular Neumann problem -Delta u + a(x)/u(beta) = lambda h(x)u(p) in B(R) with partial derivative u/partial derivative v = 0 on partial derivative B(R), where R > 0, lambda > 0 is a positive parameter, beta > 0, p is an element of vertical bar 0, 1), B(R) = B(R)(0) subset of R(N), a: B(R) -> R and h : B(R) -> R are radially symmetric nonnegative C(1) functions. Using variational methods and sub- and supersolutions, we obtain a solution for an approximated problem involving mixed boundary conditions. The limit of the approximated solutions, is a positive solution. (C) 2008 Elsevier Inc. All rights reserved.3521112119