On the existence of solutions to a fourth-order quasilinear resonant problem

DOI10.1155/S1085337502000805zbMath1065.31007MaRDI QIDQ1608795

Shibo Liu, Marco Squassina

Publication date: 13 August 2002

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51398

zbMATH Keywords

Morse theoryResonanceLocal linking\(p\)-harmonic problem

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Boundary value problems for nonlinear higher-order PDEs (35G30) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

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Monotone iterative for fourth-order \(p\)-Laplacian boundary value problems with impulsive effects ⋮ Three solutions for a Navier boundary value problem involving the \(p\)-biharmonic ⋮ Infinitely many solutions for \(p\)-harmonic equation with singular term ⋮ Existence of solutions for a nonlinear problem at resonance ⋮ On a \(p(\cdot)\)-biharmonic problem with no-flux boundary condition ⋮ Unnamed Item ⋮ Unnamed Item

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