Krasnoselskii's theorem on operators compressing a cone: Application to some singular boundary value problems

DOI10.1016/0022-247X(90)90224-4zbMath0766.47033MaRDI QIDQ1173886

Sônja M. Gomes, Juergen Sprekels

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

positive solutions of boundary value problemsnonlinear boundary value problemssimilarity solutionsfunctional analytic approachflow of gas through porous mediaGreen function of the linear partoperators that compress a cone in a Banach space

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05)

Related Items (7)

Upper and lower solutions method and a superlinear singular boundary value problem ⋮ Unnamed Item ⋮ Upper and lower solutions for a superlinear singular boundary value problem ⋮ Upper and lower solutions method and a singular superlinear boundary value problem for the one-dimensional \(p\)-Laplacian ⋮ A singular nonlinear second-order periodic boundary value problem ⋮ A second-order periodic boundary value problem with singular and discontinuous nonlinearity ⋮ Upper and lower solution method and a singular boundary value problem for the one-dimensional \(p\)-Laplacian

Cites Work

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• A generalized diffusion equation: Radial symmetries and comparison theorems
• On a Class of Similarity Solutions of the Equation u_t(|u|^m−1u_x)_x with m −1
• An equation with a singular nonlinearity related to diffusion problems in one dimension
• Positive solutions of superlinear boundary value problems
• Finite dimensional cone iteration techniques for superlinear hammerstein equations¹
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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