Global continuum of positive solutions for discrete \(p\)-Laplacian eigenvalue problems.
From MaRDI portal
Publication:499022
DOI10.1007/s10492-015-0100-zzbMath1374.39005OpenAlexW2255502700MaRDI QIDQ499022
Publication date: 29 September 2015
Published in: Applications of Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10338.dmlcz/144311
Picone identitycontinuum of positive solutionsdiscrete \(p\)-Laplacian eigenvalue problemlower and upper solutions method
General spectral theory of ordinary differential operators (34L05) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22)
Related Items
Global bifurcation and constant sign solutions of discrete boundary value problem involving \(p\)-Laplacian ⋮ Global continuum and multiple positive solutions to one-dimensional \(p\)-Laplacian boundary value problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of solutions for a nonlinear discrete system involving the \(p\)-Laplacian.
- A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of second order
- Extremal solutions for the difference \(\phi\)-Laplacian problem with nonlinear functional boundary conditions
- A global result for discrete \(\phi\)-Laplacian eigenvalue problems
- Existence and multiplicity of difference \(\phi\)-Laplacian boundary value problems
- Existence of positive solutions of \(p\)-Laplacian difference equations
- Existence results of sign-changing solutions for singular one-dimensional \(p\)-Laplacian problems
- Existence of multiple positive solutions for Sturm-Liouville-like four-point boundary value problem with \(p\)-Laplacian
- Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
- Eigenvalue problem for finite difference equations with \(p\)-Laplacian
- Oscillatory Properties of Second Order Half-Linear Difference Equations
- Solutions for discretep-Laplacian periodic boundary value problems via critical point theory
- EXISTENCE RESULTS FOR POSITIVE SOLUTIONS OF NON-HOMOGENEOUS BVPS FOR SECOND ORDER DIFFERENCE EQUATIONS WITH ONE-DIMENSIONAL p-LAPLACIAN