On the normalized eigenvalue problems for nonlinear elliptic operators

DOI10.1016/J.JMAA.2006.06.072zbMath1112.47051OpenAlexW4238507970MaRDI QIDQ868765

Jing Lin

Publication date: 26 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.072

zbMATH Keywords

eigenvaluecontinuous extensionnonlinear elliptic equationweak closuremaximal monotone

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (2)

On the normalized eigenvalue problems for nonlinear elliptic operators. II ⋮ Invariance of domain and eigenvalues for perturbations of densely defined linear maximal monotone operators

Cites Work

• Normalized eigenvectors for nonlinear abstract and elliptic operators
• Homotopy invariance of parameter-dependent domains and perturbation theory for maximal monotone and \(m\)-accretive operators in Banach spaces.
• On the eigenvalue problem for perturbations of nonlinear accretive and monotone operators in banach spaces
• New results in the perturbation theory of maximal monotone and $M$-accretive operators in Banach spaces
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