Variational approach for an elastic beam equation with local nonlinearities
From MaRDI portal
Publication:6086089
DOI10.4064/ap220519-20-10MaRDI QIDQ6086089
Ahmad Ghobadi, Shapour Heidarkhani
Publication date: 9 November 2023
Published in: Annales Polonici Mathematici (Search for Journal in Brave)
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09)
Cites Work
- Unnamed Item
- A critical point theorem via the Ekeland variational principle
- Positive solutions for elastic beam equations with nonlinear boundary conditions and a parameter
- Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent
- The multiplicity of solutions for fourth-order equations generated from a boundary condition
- Multiple critical points theorems without the Palais--Smale condition
- Monotone positive solutions for a fourth order equation with nonlinear boundary conditions
- Variational and non-variational methods in nonlinear analysis and boundary value problems
- Variational approaches to Kirchhoff-type second-order impulsive differential equations on the half-line
- Positive solutions for a beam equation on a nonlinear elastic foundation
- A three critical points theorem and its applications to the ordinary Dirichlet problem
- A general variational principle and some of its applications
- Existence and concentration of nontrivial solutions for an elastic beam equation with local nonlinearity
- Infinitely many solutions for a fourth-order differential equation on a nonlinear elastic foundation
- Dual variational methods in critical point theory and applications
- Existence results for a two point boundary value problem involving a fourth-order equation
- Multiple positive solutions to a fourth order boundary value problem
- Relations between the mountain pass theorem and local minima
- A note on iterative solutions for a nonlinear fourth order oder
- Maximum Principle for a fourth order boundary value problem
This page was built for publication: Variational approach for an elastic beam equation with local nonlinearities