On the multiplicity of solutions for a kind of fourth-order equation depending on two real parameters

DOI10.1186/s13660-021-02709-5zbMath1504.34045OpenAlexW3209266039MaRDI QIDQ2072978

Armin Hadjian, Maryam Ramezani

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-021-02709-5

zbMATH Keywords

variational methodscritical point theorythree solutionsfourth-order equations

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)

Cites Work

• Unnamed Item
• Combined effects of concave-convex nonlinearities in a fourth-order problem with variable exponent
• A nonlinear boundary value problem for fourth-order elastic beam equations
• The multiplicity of solutions for fourth-order equations generated from a boundary condition
• A note on a question of Ricceri
• A boundary value problem for fourth-order elastic beam equations
• Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• A further three critical points theorem
• Positive solutions for a beam equation on a nonlinear elastic foundation
• Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings
• Multiplicity of solutions of a two point boundary value problem for a fourth-order equation
• Existence and multiplicity of solutions of a kind of fourth-order boundary value problem
• Relations between the mountain pass theorem and local minima
• An existence result for a periodic boundary value problem of fractional semilinear differential equations in a Banach space
• On the structure of the critical set of non-differentiable functions with a weak compactness condition
• Periodic and homoclinic solutions of extended Fisher-Kolmogorov equations

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