Existence of nonconstant periodic solutions for \(p(t)\)-Laplacian Hamiltonian system

DOI10.1186/s13661-019-1248-3OpenAlexW2968579509MaRDI QIDQ2108359

Fanglei Wang, Yuanfang Ru

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1248-3

zbMATH Keywords

periodic solutioncritical pointleast action principleminimax principle\(p(t)\)-Laplacian

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34Cxx) Linear function spaces and their duals (46Exx) Variational problems in infinite-dimensional spaces (58Exx)

Related Items (1)

Periodic solutions for nonlinear systems of ODE's with generalized variable exponents operators

Cites Work

• Unnamed Item
• Unnamed Item
• Infinitely many periodic solutions for some second-order differential systems with \(p(t)\)-Laplacian
• On superlinear \(p(x)\)-Laplacian problems without Ambrosetti and Rabinowitz condition
• Periodic solutions for a class of second order Hamiltonian systems with \(p(t)\)-Laplacian
• A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
• Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential
• Critical point theory and Hamiltonian systems
• Periodic solutions of a class of non-autonomous second-order systems
• A Knobloch-type result for \(p(t\))-Laplacian systems.
• Existence of nonconstant periodic solutions for a class of second-order systems with \(p(t)\)-Laplacian
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Periodic solutions for some nonautonomous \(p(t)\)-Laplacian hamiltonian systems.
• Positive periodic solutions of nonlinear differential equations system with nonstandard growth
• Existence of periodic solutions for \(p(t)\)-Laplacian systems
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Periodic solutions of hamiltonian systems
• Existence and multiplicity of periodic solutions for some second order differential systems with p(t)-Laplacian
• Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

This page was built for publication: Existence of nonconstant periodic solutions for \(p(t)\)-Laplacian Hamiltonian system