A fibering map approach to a semilinear elliptic boundary value problem
Date
2007-05-10
Authors
Brown, Kenneth J.
Wu, Tsung-fang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We prove the existence of at least two positive solutions for the semilinear elliptic boundary-value problem
-Δu(x) = λα(x)uq + b(x)up for x ∈ Ω; u(x) = 0 for x ∈ ∂Ω
on a bounded region Ω by using the Nehari manifold and the fibering maps associated with the Euler functional for the problem. We show how knowledge of the fibering maps for the problem leads to very easy existence proofs.
Description
Keywords
Semilinear elliptic boundary value problem, Variational methods, Nehari manifold, Fibering map
Citation
Brown, K. J., & Wu, T. F. (2007). A fibering map approach to a semilinear elliptic boundary value problem. <i>Electronic Journal of Differential Equations, 2007</i>(69), pp. 1-9.
Rights
Attribution 4.0 International