Content area
Abstract
We establish the existence of a positive solution of a class of anisotropic singular quasilinear elliptic boundary value problems with certain nonlinearities. One example is: [special characters omitted] Here Ω is a bounded convex smooth domain in R2, a ≥ b ≥ 0, λ > 0, and r > 0.
If 0 < r < 1 (sublinear case), then (1) has a solution for all λ > 0. On the other hand, if r > 1 (superlinear case), then there exists a positive constant λ* such that for each λ ∈ (0, λ*], (1) has a positive solution.
Finally, we present some numerical results for some open theoretical questions for these types of problems.
Details
Title
On the existence of positive solutions of quasilinear elliptic boundary value problems
Author
Kim, Eun Heui
Year
1999
ISBN
978-0-599-30900-5
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304501661
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
