On the definition of eigenvalues for nonlinear operators

DOI10.1016/S0362-546X(00)85034-8zbMath0956.47038OpenAlexW35157156WikidataQ57363492 ScholiaQ57363492MaRDI QIDQ1570952

Martin Väth, Paola Santucci

Publication date: 9 July 2000

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/s0362-546x(00)85034-8

zbMATH Keywords

compact nonlinear operatorconnected eigenvalue

Mathematics Subject Classification ID

Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (10)

On the Bonsall cone spectral radius and the approximate point spectrum ⋮ An invariant subspace problem for multilinear operators on Banach spaces and algebras ⋮ Lower spectral radius and spectral mapping theorem for suprema preserving mappings ⋮ Some remarks on spectrum of nonlinear continuous operators ⋮ Calculation of degree and global bifurcation for variational inequalities with nonsymmetric operators in Banach spaces ⋮ Comments on fixed point results in classes of function with values in a $b$-metric space ⋮ A finite dimensional approach to nonlinear spectral theory ⋮ Global bifurcation of the \(p\)-Laplacian and related operators ⋮ Global solution branches and a topological implicit function theorem ⋮ A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces

Cites Work

• Contributions to the spectral theory for nonlinear operators in Banach spaces
• A new spectral theory for nonlinear operators and its applications
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