Three solutions to Dirichlet problems for second-order self-adjoint difference equations involving \(p\)-Laplacian

DOI10.1186/s13662-021-03350-8zbMath1494.39016OpenAlexW3164935931MaRDI QIDQ2166909

Feng Xiong, Zhan Zhou

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03350-8

zbMATH Keywords

critical point theoryboundary value problem\(p\)-Laplacianself-adjoint

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12) Boundary value problems for difference equations (39A27)

Related Items (2)

Three positive solutions for a nonlinear partial discrete Dirichlet problem with \((p,q)\)-Laplacian operator ⋮ Boundary value problems for a second-order difference equation involving the mean curvature operator

Cites Work

• Unnamed Item
• Positive solutions for a discrete two point nonlinear boundary value problem with \(p\)-Laplacian
• Homoclinic solutions in non-periodic discrete \(\phi\)-Laplacian equations with mixed nonlinearities
• Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity
• Homoclinic solutions in periodic difference equations with saturable nonlinearity
• Existence of periodic and subharmonic solutions for second-order superlinear difference equations
• Homoclinic orbits for second order self-adjoint difference equations
• Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
• Three solutions to Dirichlet boundary value problems for \(p\)-Laplacian difference equations
• On the existence of positive solutions of \(p\)-Laplacian difference equations.
• Existence of multiple solutions for second-order discrete boundary value problems
• Homoclinic orbits for discrete Hamiltonian systems with local super-quadratic conditions
• Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients
• Homoclinic solutions of discrete \(\phi\)-Laplacian equations with mixed nonlinearities
• Fite-Hille-Wintner-type oscillation criteria for second-order half-linear dynamic equations with deviating arguments
• Infinitely many positive solutions for a discrete two point nonlinear boundary value problem with \(\phi_c\)-Laplacian
• Local fractional system for economic order quantity using entropy solution
• Optimization problems for elastic contact models with unilateral constraints
• Twin positive solutions of boundary value problems for finite difference equations with \(p\)-Laplacian operator
• Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials
• Global dynamics of a delayed two-patch discrete SIR disease model
• Boundary value problems for \(2n\)-order \(\phi_c\)-Laplacian difference equations containing both advance and retardation
• Periodic and subharmonic solutions for second-order nonlinear difference equations
• Oscillation of second-order \(p\)-Laplace dynamic equations with a nonpositive neutral coefficient
• Homoclinic orbits for discrete Hamiltonian systems with indefinite linear part
• Existence of positive solutions of \(p\)-Laplacian difference equations
• Dominant and recessive solutions for second order self-adjoint linear difference equations
• Disconjugacy and C-disfocality of second-order self-adjoint difference equation
• Multiplicity results of breathers for the discrete nonlinear Schrödinger equations with unbounded potentials
• Fluctuations of mRNA distributions in multiple pathway activated transcription
• Multitype bistability and long transients in a delayed spruce budworm population model
• Variational Methods on Finite Dimensional Banach Spaces and Discrete Problems
• Boundary value problems for second-order nonlinear difference equations with discrete φ-Laplacian and singular φ
• PERIODIC SOLUTIONS OF SECOND ORDER SELF-ADJOINT DIFFERENCE EQUATIONS
• Existence of Three Positive Pseudo-symmetric Solutions for a One Dimensional Discretep-Laplacian
• Infinitely many solutions for a class of discrete non-linear boundary value problems
• ModelingWolbachiainfection in mosquito population via discrete dynamical models
• Homoclinic orbits for a class of discrete periodic Hamiltonian systems

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