Invariance of domain and eigenvalues for perturbations of densely defined linear maximal monotone operators

DOI10.1080/00036811.2014.996873zbMath1358.47039OpenAlexW1984719171MaRDI QIDQ2795445

Athanassios G. Kartsatos, Dhruba R. Adhikari

Publication date: 21 March 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.996873

zbMATH Keywords

maximal monotone operatornonlinear eigenvalue probleminvariance of domainstrongly quasibounded operatorgeneralized degree theorytype \((S_+)\) operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Initial-boundary value problems for higher-order parabolic equations (35K35) Degree theory for nonlinear operators (47H11) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Perturbations of nonlinear operators (47H14) Nonlinear evolution equations (47J35)

Related Items (2)

Topological degree for quasibounded multivalued (S̃)₊-perturbations of maximal monotone operators ⋮ Unnamed Item

Cites Work

• A note on the duality mapping of a locally uniformly convex Banach space
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• A new topological degree theory for densely defined quasibounded \(({\widetilde{S}}_{+})\)-perturbations of multivalued maximal monotone operators in reflexive Banach spaces
• Nonlinear mappings of monotone type in Banach spaces
• On the normalized eigenvalue problems for nonlinear elliptic operators. II
• The degree of mapping, and its generalizations
• An invariance of domain result for multi-valued maximal monotone operators whose domains do not necessarily contain any open sets
• On the eigenvalue problem for perturbations of nonlinear accretive and monotone operators in banach spaces
• On the eigenvalue problem for perturbed nonlinear maximal monotone operators in reflexive Banach spaces
• Perturbations of nonlinear maximal monotone sets in banach space

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