Nontrivial solutions for some fourth order boundary value problems with parameters

DOI10.1016/J.NA.2008.08.005zbMath1171.34006OpenAlexW2033509879MaRDI QIDQ1015832

Yingchen Yang, Ji Hui Zhang

Publication date: 30 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.08.005

zbMATH Keywords

Morse theoryvariational methodscritical pointboundary value problemcritical group

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of operator theory to differential and integral equations (47N20)

Related Items (10)

Existence of solutions for a class of operator equations ⋮ Monotone and convex positive solutions for fourth-order multi-point boundary value problems ⋮ Infinitely many sign-changing solutions for some nonlinear fourth-order beam equations ⋮ Third order BVPs with \(\phi\)-Laplacian operators on \([0,+\infty)\) ⋮ Multiple solutions of some boundary value problems with parameters ⋮ Nontrivial solutions on a kind of fourth-order Neumann boundary value problems ⋮ Existence of solutions for 2\(m\)th-order periodic boundary value problems ⋮ Nontrivial solutions to a class of systems of second-order differential equations ⋮ Existence of solutions for fourth-order boundary value problem with parameter ⋮ UPPER AND LOWER SOLUTIONS FOR Φ-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE

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