Existence of Positive Solutions for some Dirichlet Problems with an Asymptotically Homogenous Operator
Date
1995-11-27
Authors
Garcia-Huidobro, Marta
Manasevich, Raul
Ubilla, Pedro
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Existence 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.
Description
Keywords
Dirichlet problem, Positive solution, Blow up
Citation
Garcia-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.
Rights
Attribution 4.0 International