Global solution branches for equations involving nonhomogeneous operators of \(p\)-Laplace type

DOI10.1016/j.na.2010.10.059zbMath1211.35116OpenAlexW1969187911WikidataQ57363372 ScholiaQ57363372MaRDI QIDQ629305

Yun-Ho Kim, Martin Väth

Publication date: 9 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.059

zbMATH Keywords

bifurcationnonlinear equation\(p\)-Laplaciannonhomogeneous operatorglobal branchmodified \(p\)-Laplace operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Degree theory for nonlinear operators (47H11) Weak solutions to PDEs (35D30)

Related Items

A global bifurcation for nonlinear equations with nonhomogeneous part ⋮ Global convergence of modified multiplicative updates for nonnegative matrix factorization ⋮ Existence of an unbounded branch of the set of solutions for equations of \(p(x)\)-Laplace type ⋮ Positivity of the infimum eigenvalue for equations of \(p(x)\)-Laplace type in \(\mathbb R^N\) ⋮ Mountain pass type solutions and positivity of the infimum eigenvalue for quasilinear elliptic equations with variable exponents

Cites Work

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• Some aspects of nonlinear eigenvalue problems
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• Global bifurcation for quasilinear elliptic equations
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