Existence of solutions for some nonlinear problems with \(p\)-Laplacian like operators

DOI10.1016/j.na.2008.03.028zbMath1361.34021OpenAlexW1983925346MaRDI QIDQ1004649

Xue Yang

Publication date: 11 March 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.2008.03.028

zbMATH Keywords

solutionsRobin boundary conditions\(p\)-LaplacianLeray-Schauder degree

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20)

Cites Work

• Unnamed Item
• Existence and monotone method for periodic solutions of first-order differential equations
• Solvability of some operator equations and periodic solutions of nonlinear functional differential equations
• Existence of solutions of two point boundary value problems for nonlinear systems
• Ordinary differential equations with nonlinear boundary conditions
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• An introduction to nonlinear boundary value problems
• Existence and uniqueness results for some nonlinear boundary value problems
• Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
• Periodic solutions of nonlinear perturbations of \(\phi\)-Laplacians with possibly bounded \(\phi\)
• Remarks on first and second order periodic boundary value problems
• Existence of periodic solutions of nonlinear boundary value problems and the method of upper and lower solutions
• Existence of solutions to boundary value problems for second order differential equations
• Nagumo theorems of nonlinear singular boundary value problems
• A homotopy method of finding periodic solutions for ordinary differential equations from the upper and lower solutions
• Nonlinear boundary value problems for second order differential equations