Garcia-Huidobro, MartaManasevich, RaulUbilla, Pedro2018-08-222018-08-221995-11-27Garcia-Huidobro, M., Manasevich, R. & Ubilla, P. (1995). Existence of positive solutions for some Dirichlet problems with an asymptotically homogeneous operator. <i>Electronic Journal of Differential Equations, 1995</i>(10), pp. 1-22.1072-6691https://hdl.handle.net/10877/7580Existence of positive radially symmetric solutions to a Dirichlet problem of the form -div(A(|Du|)Du) = ƒ(u) in Ω u = 0 on ∂Ω is studied by using blow-up techniques. It is proven here that by choosing the functions sA(s) and f(s) among a certain class called asymptotically homogeneous, the blow-up method still provides the a-priori bounds for positive solutions. Existence is proved then by using degree theory.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalDirichlet problemPositive solutionBlow upArticle