Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \) (Q1026085)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \) |
scientific article; zbMATH DE number 5569418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \) |
scientific article; zbMATH DE number 5569418 |
Statements
Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \) (English)
0 references
24 June 2009
0 references
To establish the existence, uniqueness, nonexistence, multiplicity of positive solutions, and sign-changing solutions of second order two-point boundary value problems involving the \(p\)-Laplacian with a parameter the authors have cleverly used some properties of the eigenfunctions and the global bifurcation theory. The results in the paper are very interesting.
0 references
\(p\)-Laplace equation
0 references
singular weight
0 references
Leray-Schauder degree
0 references
bifurcation
0 references
positive solution
0 references
sign-changing solution
0 references
0 references
0 references
0 references
0 references
0 references
0.9788622
0 references
0.9227527
0 references
0.91886586
0 references
0.9138143
0 references
0.9129373
0 references
0.9099461
0 references
0.9085127
0 references
0.90411013
0 references
