Positive solutions for one-dimensional \(p\)-Laplacian boundary value problems with sign changing nonlinearity

DOI10.1016/j.na.2009.04.029zbMath1181.34031OpenAlexW2046873760MaRDI QIDQ732574

Dehong Ji, Yu Tian, Weigao Ge

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.029

zbMATH Keywords

positive solutionsboundary value problemsKrasnosel'skii fixed point theoremone-dimensional \(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items

Positive solutions of nonlinear multi-point boundary value problems, Eigenvalue problem of an impulsive differential equation governed by the one-dimensional p-Laplacian operator, Existence of positive solutions for third-order \(m\)-point boundary value problems with sign-changing nonlinearity on time scales

Cites Work

• Unnamed Item
• Unnamed Item
• Existence and iteration of monotone positive solutions for multipoint boundary value problem with \(p\)-Laplacian operator
• Existence of multiple positive solutions for one-dimensional \(p\)-Laplacian
• Existence theorems for a second order \(m\)-point boundary value problem
• Existence of multiple positive solutions for nonlinear \(m\)-point boundary value problems
• Existence of multiple positive solutions for nonlinear \(m\)-point boundary-value \newline problems.
• Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem
• A singular boundary value problem for the one-dimensional \(p\)-Laplacian
• Multiple Positive Solutions of Semilinear Differential Equations with Singularities
• Existence results for the problem (φ(u′))′=f(t,u,u′) with nonlinear boundary conditions
• Pairs of positive solutions for the one-dimensional p-Laplacian
• Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$