𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on singular nonlinear boundary value problems for the one-dimensional p-Laplacian

✍ Scribed by Haishen Lü; Chengkui Zhong

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
252 KB
Volume
14
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

theorems about the positive solution for the singular equation (qzp(gl))~ ÷ f(t, y) = 0, y(0) = y(1) = 0 are established. The results are obtained by using a fixed-point theorem in cones.

📜 SIMILAR VOLUMES

Positive solutions of singular three-poi
Positive solutions of singular three-point boundary value problems for the One-dimensional p-Laplacian
✍ Bing Liu 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 560 KB

We use the fixed-point index theory to establish the existence of at least one or two positive solutions for the singular three-point boundary value problems and a(t) is allowed to have a singularity at the endpoints of (0, 1). Applications of our results are provided to yield positive radial solut

A Singular Boundary Value Problem for th
A Singular Boundary Value Problem for the One-Dimensionalp-Laplacian
✍ Junyu Wang; Wenjie Gao 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 164 KB

The singularity may appear at u s 0 and at t s 0 or t s 1 and the function f may be discontinuous. The authors prove that for any p ) 1 and for any positive, nonincreasing function f and nonnegative measurable function k with some integrability conditions, the abovementioned problem has a unique sol