Bounded perturbations of homogeneous quasilinear operators using bifurcations from infinity

DOI10.1016/j.jde.2003.09.011zbMath1111.35009OpenAlexW2052116413MaRDI QIDQ1888317

Petr Girg, Pavel Drábek, Peter Takáč

Publication date: 23 November 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.09.011

zbMATH Keywords

\(p\)-LaplacianAsymptotic bifurcationLandesman--Lazer problemVanishing nonlinearities

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Perturbations in context of PDEs (35B20) Bifurcations in context of PDEs (35B32) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

Landesman-Lazer conditions for resonant \(p\)-Laplacian problems with jumping nonlinearities ⋮ A variational approach to the Fredholm alternative for the \(p\)-Laplacian near the first eigenvalue ⋮ Poincaré inequality and Palais-Smale condition for the \(p\)-Laplacian ⋮ On global dynamics of reaction-diffusion systems at resonance ⋮ On the Fredholm alternative for the Fučík spectrum ⋮ Perturbation of the \(p\)-Laplacian by vanishing nonlinearities (in one dimension) ⋮ A detailed analysis on local bifurcation from infinity for nonlinear elliptic problems ⋮ Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations ⋮ A nonlinear second order problem with a nonlocal boundary condition

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