Global nontrivial bifurcation of homogeneous operators with an application to the \(p\)-Laplacian

DOI10.1016/j.jmaa.2005.08.052zbMath1142.35033OpenAlexW1998490834WikidataQ57363436 ScholiaQ57363436MaRDI QIDQ2497364

Martin Väth

Publication date: 4 August 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.08.052

zbMATH Keywords

nontrivial solutionglobal bifurcationblow-up method\(p\)-Laplaceglobal branch0-Epi map

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) General theory of partial differential operators (47F05) Bifurcations in context of PDEs (35B32)

Related Items (5)

A global bifurcation for nonlinear equations with nonhomogeneous part ⋮ A global bifurcation for nonlinear inclusions ⋮ Global bifurcation for nonlinear equations ⋮ Global bifurcation for generalized \(k\)-set contractions ⋮ Global bifurcation of the \(p\)-Laplacian in \(\mathbb R^N\)

Cites Work

• On the solvability of nonlinear operator equations in normed spaces
• Global bifurcation of the \(p\)-Laplacian and related operators
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