Infinitely many solutions for systems of \(n\) fourth order partial differential equations coupled with Navier boundary conditions

DOI10.1016/j.ajmsc.2013.04.003zbMath1304.49013OpenAlexW2003406351MaRDI QIDQ465006

Shapour Heidarkhani

Publication date: 30 October 2014

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2013.04.003

zbMATH Keywords

variational principleinfinitely many solutionsNavier boundary conditionsfourth order partial differential equations

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27)

Related Items (2)

Infinitely many solutions for a nonlinear Navier problem involving the p-biharmonic operator ⋮ Multiple solutions for nonlinear Navier boundary systems involving \((p_1(x), \ldots, p_n(x))\)-biharmonic problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinitely many solutions for a fourth-order elastic beam equation
• Infinitely many weak solutions for a class of quasilinear elliptic systems
• A fourth-order boundary value problem for a Sturm-Liouville type equation
• Existence of three solutions for a doubly eigenvalue fourth-order boundary value problem
• Non-trivial solutions for nonlinear fourth-order elastic beam equations
• Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces
• A boundary value problem for fourth-order elastic beam equations
• Existence of three solutions for \((p, q)\)-biharmonic systems
• Infinitely many solutions for a Neumann-type differential inclusion problem involving the \(p(x)\)-Laplacian
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• The existence of infinitely many solutions of a class of nonlinear elliptic equations with Neumann boundary condition for both resonance and oscillation problems.
• Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
• Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition
• Multiple solutions for a class of \((p_1, \dots, p_n)\)-biharmonic systems
• A general variational principle and some of its applications
• Existence of infinitely many solutions for a Neumann problem involving the \(p(x)\)-Laplacian
• On the Neumann problem for elliptic equations involving the \(p\)-Laplacian
• Infinitely many solutions for a class of nonlinear eigenvalue problem in Orlicz-Sobolev spaces
• Infinitely many solutions for systems of multi-point boundary value problems using variational methods
• Infinitely many solutions for a differential inclusion problem in \(\mathbb R^N\)
• Three solutions for a Navier boundary value problem involving the \(p\)-biharmonic
• Existence of three solutions for a class of (p₁,\ldots,p_n)-biharmonic systems with Navier boundary conditions
• Existence of non-trivial solutions for systems of n fourth order partial differential equations
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• Infinitely many solutions for a Dirichlet problem involving the p-Laplacian
• INFINITELY MANY SOLUTIONS TO THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN AND WITH DISCONTINUOUS NONLINEARITIES
• Infinitely many solutions for indefinite semilinear elliptic equations without symmetry
• Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential^∗
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

This page was built for publication: Infinitely many solutions for systems of \(n\) fourth order partial differential equations coupled with Navier boundary conditions