A fixed point theorem for systems of nonlinear operator equations and applications to \((p_1, p_2)\)-Laplacian system
type: Item
instance of: scholarly article
title: A fixed point theorem for systems of nonlinear operator equations and applications to \((p_1, p_2)\)-Laplacian system
author: Yumei Zou
author: Guoping He
published in: Mediterranean Journal of Mathematics
publication date: 2018-06-01T00:00:00Z
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6879914
zbMATH Keywords: fixed point theorem
zbMATH Keywords: positively 1-homogeneous operators
zbMATH Keywords: \((p_1, p_2)\)-Laplacian system
MaRDI profile type: Publication
full work available at URL: s00009-018-1119-7
OpenAlex ID: W2795323898
cites work: Q5185568
cites work: Q3994493
cites work: Q5732050
cites work: Q3847203
cites work: Q4918736
cites work: A generalization of Mahadevan's version of the Krein-Rutman theorem and applications to \(p\)-Laplacian boundary value problems
cites work: Computation for the fixed point index and its applications
cites work: Fixed point theorems for a class of nonlinear operators in Hilbert spaces with lattice structure and application
cites work: Computation of topological degree in ordered Banach spaces with lattice structure and applications.
cites work: Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications
cites work: On Krasnoselskii's cone fixed point theorem
cites work: A vector version of Krasnosel'skiĭ's fixed point theorem in cones and positive periodic solutions of nonlinear systems
cites work: Moser-Harnack inequality, Krasnoselskii type fixed point theorems in cones and elliptic problems
cites work: Q3119204
cites work: Compression-expansion fixed point theorem in two norms and applications
cites work: Fixed point theorems for a class of nonlinear operators in Riesz spaces
cites work: Positive solutions of functional-differential systems via the vector version of Krasnoselskii's fixed point theorem in cones
cites work: Fourth-order \(p\)-Laplacian nonlinear systems via the vector version of Krasnosel'skiĭ's fixed point theorem
cites work: Existence, localization and multiplicity results for positive radial solutions of semilinear elliptic systems
cites work: Multiplicity of positive solutions for a \((p_1,p_2)\)-Laplacian system and its applications
cites work: Solutions of nonlinear equations in cones and positive linear operators
cites work: A nonlinear Krein Rutman theorem
cites work: Uniqueness of solution for boundary value problems for fractional differential equations
cites work: Existence of solutions for second-order integral boundary value problems
cites work: Uniqueness and existence of positive solutions for singular differential systems with coupled integral boundary value problems
cites work: Bifurcation analysis for a singular differential system with two parameters via to topological degree theory
cites work: Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions
cites work: A note on a nonlinear Krein-Rutman theorem
cites work: Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
cites work: Q3951115
cites work: Spectral analysis for a singular differential system with integral boundary conditions
cites work: Remarks on \(u_{0}\)-positive operators
cites work: On the uniqueness of solutions for a class of fractional differential equations
cites work: Existence and uniqueness of iterative positive solutions for singular Hammerstein integral equations
cites work: Convex solutions of boundary value problem arising from Monge-Ampère equations
DOI: 10.1007/S00009-018-1119-7
description: scientific article; zbMATH DE number 6879914