Global bifurcation results for general Laplacian problems

DOI10.1186/1687-1812-2012-7zbMath1300.47079OpenAlexW2127953985WikidataQ59271577 ScholiaQ59271577MaRDI QIDQ361209

Mohammad Hasan, M. Dambrine

Publication date: 28 August 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-7

zbMATH Keywords

spectral parameternonlinear ODEgeneral Laplacian problemglobal bifurcation results

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Abstract bifurcation theory involving nonlinear operators (47J15)

Cites Work

• On the existence of nodal solutions for singular one-dimensional \(\varphi\)-Laplacian problem with asymptotic condition
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Some bifurcation results for a class of \(p\)-Laplacian like operators
• A homotopy along \(p\) for systems with a vector \(p\)-Laplace operator.
• Eigenvalues and the one-dimensional \(p\)-Laplacian
• Multiple positive solutions of singular eigenvalue type problems involving the one-dimensional \(p\)-Laplacian
• Some aspects of nonlinear eigenvalue problems
• The existence of positive solutions for the one-dimensional $p$-Laplacian
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