Existence of three solutions for nonlinear operator equations and applications to second-order differential equations

DOI10.1155/2021/6668037OpenAlexW3129181807WikidataQ115243636 ScholiaQ115243636MaRDI QIDQ2228063

Ming-Liang Song, Shu-Yuan Mei

Publication date: 16 February 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6668037

Mathematics Subject Classification ID

Operator theory (47-XX) Ordinary differential equations (34-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of solutions for sub-linear or super-linear operator equations
• Saddle points and multiple solutions of differential equations
• Three periodic solutions for \(p\)-Hamiltonian systems
• A variational approach to homoclinic orbits in Hamiltonian systems
• Three solutions for a Dirichlet boundary value problem involving the \(p\)-Laplacian
• Three solutions for a class of quasilinear elliptic systems involving the \((p,q)\)-Laplacian
• Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations
• A three critical points theorem revisited
• Critical point theory and Hamiltonian systems
• Nontrivial periodic solutions for strong resonance Hamiltonian systems
• Existence of three solutions for a two point boundary value problem
• On a three critical points theorem
• Infinite dimensional Morse theory and multiple solution problems
• Multiplicity theorems for the Dirichlet problem involving the \(p\)-Laplacian.
• A note on a result of Ambrosetti and Mancini
• Existence of three solutions for a nonautonomous two point boundary value problem
• A three critical points theorem and its applications to the ordinary Dirichlet problem
• Saddle point characterization and multiplicity of periodic solutions of non-autonomous second-order systems
• Solutions of asymptotically linear operator equations via morse theory
• Remarks on finding critical points
• Nonlinear Second Order Elliptic Partial Differential Equations at Resonance
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Nonlinear elliptic partial differential equations at resonance: Higher eigenvalues
• On the continuation principle of local smooth solution for the Hall-MHD equations
• Existence of solutions for subquadratic convex or $B$-concave operator equations and applications to second order Hamiltonian systems
• Existence of three solutions for a class of elliptic eigenvalue problems

This page was built for publication: Existence of three solutions for nonlinear operator equations and applications to second-order differential equations