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Nonnegative solutions for the degenerate logistic indefinite sublinear equation

✍ Scribed by M. Delgado; A. Suárez

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
151 KB
Volume
52
Category
Article
ISSN
0362-546X

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✦ Synopsis

The goal of this paper is to study the nonnegative steady-states solutions of the degenerate logistic indeÿnite sublinear problem. We combine bifurcation method and linking local subsupersolution technique to show the existence and multiplicity of nonnegative solutions. We employ a change of variable already used in a di erent context and the spectral singular theory to prove uniqueness results.

📜 SIMILAR VOLUMES

The Number of Peaks of Nonnegative Solut
The Number of Peaks of Nonnegative Solutions to Some Nonlinear Degenerate Parabolic Equations
✍ Shigeru Sakaguchi 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 260 KB

We consider the Cauchy problems for some nonlinear degenerate parabolic equations in ‫ޒ‬ N for nonzero bounded nonnegative initial data having compact support, and show that the set of peaks of the nonnegative solution consists of one point after a finite time.