Combined perturbation effects for a class of nonlinear fourth-order Navier problems

DOI10.1080/17476933.2017.1320783zbMath1387.35117OpenAlexW2692434759MaRDI QIDQ5374202

Ramzi S. Alsaedi

Publication date: 9 April 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2017.1320783

zbMATH Keywords

Laplace operatorbiharmonic operatorNavier boundary condition

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Cites Work

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• Fourth-order Navier boundary value problem with combined nonlinearities
• Extensions of the mountain pass theorem
• Nonlinear oscillations in a suspension bridge
• Partial differential equations in the 20th century
• Dual variational methods in critical point theory and applications
• Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings
• Nontrivial solutions for some fourth order semilinear elliptic problems
• Multiplicity results for a fourth-order semilinear elliptic problem
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

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