Fisher-Kolmogorov type perturbations of the relativistic operator: differential vs. difference
DOI10.1090/proc/13978zbMath1384.34031OpenAlexW2765572546MaRDI QIDQ4604677
Publication date: 5 March 2018
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/proc/13978
Palais-Smale conditionperiodic solutioncritical pointdifference equationsKrasnoselskii genusrelativistic operatorFisher-Kolmogorov nonlinearities
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Additive difference equations (39A10) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Periodic solutions of difference equations (39A23)
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Cites Work
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- Periodic solutions of second order nonlinear difference systems with \(\phi\)-Laplacian: A variational approach
- Heteroclinic solutions of a second-order difference equation related to the Fisher-Kolmogorov's equation
- Topological methods for boundary value problems involving discrete vector \(\phi\)-Laplacians
- Morse theory and multiple periodic solutions of some quasilinear difference systems with periodic nonlinearities
- Variational methods for nonlinear perturbations of singular \(\varphi \)-Laplacians
- Periodic solutions of the forced relativistic pendulum
- Multiple solutions for Neumann and periodic problems with singular \(\phi \)-Laplacian
- Decreasing and fast solutions for a second-order difference equation related to Fisher-Kolmogorov's equation
- Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Existence and nonexistence of nontrivial solutions of semilinear sixth-order ordinary differential equations.
- Existence and numerical approximations of periodic solutions of semilinear fourth-order differential equations.
- A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation
- Radial solutions of Neumann problems involving mean extrinsic curvature and periodic nonlinearities
- Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
- A simple proof of multiplicity for periodic solutions of Lagrangian difference systems with relativistic operator and periodic potential
- PERIODIC SOLUTIONS FOR SINGULAR PERTURBATIONS OF THE SINGULAR ϕ-LAPLACIAN OPERATOR
- Solutions for discretep-Laplacian periodic boundary value problems via critical point theory
- Spatial Patterns Described by the Extended Fisher--Kolmogorov Equation: Periodic Solutions
- Periodic and homoclinic solutions of extended Fisher–Kolmogorov equations
- Multiple periodic solutions for perturbed relativistic pendulum systems
- Spatial patterns. Higher order models in physics and mechanics
