Relativistic type systems with parametric odd nonlinearities

DOI10.3934/cpaa.2023007OpenAlexW4313178440MaRDI QIDQ2699539

Petru Jebelean, Călin Şerban

Publication date: 19 April 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2023007

zbMATH Keywords

Dirichlet problemperiodic solutionscritical pointNeumann problemrelativistic operatorKrasnoselskii's genusFisher-Kolmogorov nonlinearities

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Perturbations of nonlinear operators (47H14) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items

Dirichlet systems with discrete relativistic operator

Cites Work

• Unnamed Item
• Unnamed Item
• Multiplicity of solutions of variational systems involving \(\phi\)-Laplacians with singular \(\phi\) and periodic nonlinearities
• Periodic solutions of the forced relativistic pendulum
• Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
• Multiple periodic solutions of Lagrangian systems of relativistic oscillators
• Multiple critical points for a class of periodic lower semicontinuous functionals
• Multiple critical orbits to partial periodic perturbations of the \(p\)-relativistic operator
• Lusternik-Schnirelman theory for the action integral of the Lorentz force equation
• Boundary value problems for discontinuous perturbations of singular \(\phi\)-Laplacian operator
• Note on periodic solutions of relativistic pendulum type systems
• Existence of at least two periodic solutions of the forced relativistic pendulum
• Fisher-Kolmogorov type perturbations of the relativistic operator: differential vs. difference
• Another multiplicity result for the periodic solutions of certain systems
• Periodic Solutions to a Perturbed Relativistic Kepler Problem
• Multiple periodic solutions for perturbed relativistic pendulum systems
• Fisher–Kolmogorov type perturbations of the mean curvature operator in Minkowski space
• The spectrum of \(p\)-Laplacian systems with various boundary conditions and applications