Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity - Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville
Article Dans Une Revue Mathematical News / Mathematische Nachrichten Année : 2024

Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity

Résumé

We study a superlinear elliptic boundary value problem involving the ‐Laplacian operator, with changing sign weights. The problem has positive solutions bifurcating from the trivial solution set at the two principal eigenvalues of the corresponding linear weighted boundary value problem. Drabek's bifurcation result applies when the nonlinearity is of power growth. We extend Drabek's bifurcation result to slightly subcritical nonlinearities. Compactness in this setting is a delicate issue obtained via Orlicz spaces.
Fichier principal
Vignette du fichier
Mathematische Nachrichten - 2024 - Cuesta - Bifurcation for indefinite‐weighted p p ‐Laplacian problems with slightly.pdf (334.79 Ko) Télécharger le fichier
Origine Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-04698166 , version 1 (15-09-2024)

Identifiants

Citer

Mabel Cuesta, Rosa Pardo. Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity. Mathematical News / Mathematische Nachrichten, 2024, ⟨10.1002/mana.202400184⟩. ⟨hal-04698166⟩
0 Consultations
0 Téléchargements

Altmetric

Partager

More