Sign-changing solutions on a kind of fourth-order Neumann boundary value problem

DOI10.1016/j.jmaa.2008.02.050zbMath1139.34016OpenAlexW2066106358MaRDI QIDQ2427776

Yuhua Li, Fuyi Li, Yanbiao Zhang

Publication date: 28 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.02.050

zbMATH Keywords

Neumann boundary value problemfixed point indexcritical groupsign-changing solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (7)

Infinitely many sign-changing solutions for some nonlinear fourth-order beam equations ⋮ Nontrivial solutions on a kind of fourth-order Neumann boundary value problems ⋮ Existence and uniqueness results for perturbed Neumann boundary value problems ⋮ Existence of solutions for fourth-order boundary value problem with parameter ⋮ New fixed point theorems for mixed monotone operators and local existence-uniqueness of positive solutions for nonlinear boundary value problems ⋮ The eigenvalues and sign-changing solutions of a fractional boundary value problem ⋮ Infinitely many mountain pass solutions on a kind of fourth-order Neumann boundary value problem

Cites Work

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• Infinite dimensional Morse theory and multiple solution problems
• Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition
• An elliptic problem with jumping nonlinearities
• Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations

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