Existence of three weak solutions to fourth-order elastic beam equations in the whole space

DOI10.1007/s11253-021-01901-6zbMath1482.34058OpenAlexW3113402654MaRDI QIDQ2036451

M. R. H. Tavani

Publication date: 29 June 2021

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-021-01901-6

zbMATH Keywords

variational methodsparameter dependent boundary value problemsboundary value problems on infinite intervals

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Existence and multiplicity of solutions for a fourth-order elliptic equation
• A critical point theorem via the Ekeland variational principle
• Infinitely many solutions for a fourth-order elastic beam equation
• Non-trivial solutions for nonlinear fourth-order elastic beam equations
• Existence and multiplicity of solutions for fourth-order boundary value problems with param\-eters
• A boundary value problem for fourth-order elastic beam equations
• Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
• Multiple solutions of some nonlinear fourth-order beam equations
• Functional analysis, Sobolev spaces and partial differential equations

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