On the global bifurcation for a class of degenerate equations

DOI10.1007/BF01766290zbMath0814.34018MaRDI QIDQ1191323

Pavel Drábek

Publication date: 27 September 1992

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

partial differential equationfourth order equationsecond order equationdegree theoretical approachglobal bifurcation result of Rabinowitz's typenonlinear Dirichlet boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Bifurcations in context of PDEs (35B32) Higher-order elliptic equations (35J30)

Related Items (15)

On bifurcation and existence of positive solutions for a certain \(p\)- Laplacian system ⋮ Variational methods for NLEV approximation near a bifurcation point ⋮ Bifurcation problems for the 𝑝-Laplacian in 𝑅ⁿ ⋮ Existence of an unbounded branch of the set of solutions for equations of \(p(x)\)-Laplace type ⋮ Existence of an unbounded branch of the set of solutions for Neumann problems involving the \(p(x)\)-Laplacian ⋮ Multiple nontrivial solutions for nonlinear periodic problems with the \(p\)-Laplacian ⋮ Positive solutions and bifurcation problems for some quasilinear elliptic equations in ℝN ⋮ Unnamed Item ⋮ Global bifurcation results for nonlinear dynamic equations on time scales ⋮ Global bifurcation for a class of degenerate elliptic equations with variable exponents ⋮ Global bifurcation of the \(p\)-Laplacian in \(\mathbb R^N\) ⋮ On global bifurcation for the nonlinear Steklov problems ⋮ A bifurcation problem for the principal eigencurve of thep-laplacian ⋮ Global bifurcation from Fučik spectrum ⋮ A local bifurcation theorem for degenerate elliptic equations with radial symmetry

Cites Work

• Spectral analysis of nonlinear operators
• Regularity for a more general class of quasilinear equations
• Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces
• Some global results for nonlinear eigenvalue problems
• A Note on Degree Theory for Gradient Mappings
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