Global bifurcation of the \(p\)-Laplacian and related operators

DOI10.1016/j.jde.2004.10.005zbMath1073.35027OpenAlexW2043411915WikidataQ57363453 ScholiaQ57363453MaRDI QIDQ2484521

Martin Väth

Publication date: 1 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.jde.2004.10.005

zbMATH Keywords

bifurcation\(p\)-Laplacianglobal branch0-epi map

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degree theory for nonlinear operators (47H11) Bifurcations in context of PDEs (35B32)

Related Items

Bifurcation and one-sign solutions of the \(p\)-Laplacian involving a nonlinearity with zeros, Existence and multiplicity of positive solutions for one-dimensional \(p\)-Laplacian problem with sign-changing weight, A global bifurcation for nonlinear equations with nonhomogeneous part, Global solution branches for equations involving nonhomogeneous operators of \(p\)-Laplace type, Existence of an unbounded branch of the set of solutions for equations of \(p(x)\)-Laplace type, A global bifurcation for nonlinear inclusions, Existence of an unbounded branch of the set of solutions for Neumann problems involving the \(p(x)\)-Laplacian, Global bifurcation for nonlinear equations, On the noncompact component of solutions for nonlinear inclusions, Global bifurcation for generalized \(k\)-set contractions, Degree and global bifurcation for elliptic equations with multivalued unilateral conditions, Global nontrivial bifurcation of homogeneous operators with an application to the \(p\)-Laplacian, Global bifurcation for equations involving nonhomogeneous operators in an unbounded domain, Global bifurcation for a class of degenerate elliptic equations with variable exponents, Global solution branches and a topological implicit function theorem, Global bifurcation of the \(p\)-Laplacian in \(\mathbb R^N\), Unilateral Global Bifurcation for Eigenvalue Problems with Homogeneous Operator

Cites Work

• On nonlinear Rayleigh quotients
• \(\mathcal F\)-epi maps
• Spectral analysis of nonlinear operators
• On the solvability of nonlinear operator equations in normed spaces
• Fixed point index and chain approximations
• On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts
• Coincidence degree, and nonlinear differential equations
• Continuation method for contractive maps
• Fixed-point index for compositions of set-valued maps with proximally \(\infty\)-connected values on arbitrary ANR's
• Ideal spaces
• Coepi maps and generalizations of the Hopf extension theorem.
• On the definition of eigenvalues for nonlinear operators
• A coincidence theory involving Fredholm operators of nonnegative index
• The fixed-point index for the class of compositions of acyclic set-valued maps on ANR-s
• The fixed point index for local condensing maps
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Boundary value problems on infinite intervals
• The Leray-Schauder index and the fixed point theory for arbitrary ANRs
• An axiomatic approach to a coincidence index for noncompact function pairs
• A characterization of 0-epi maps with a degree
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item