A New Spectrum for Nonlinear Operators in Banach Spaces

zbMath1233.47055arXiv1005.1819MaRDI QIDQ3006792

Alessandro Calamai, Massimo Furi, Alfonso Vignoli

Publication date: 21 June 2011

Full work available at URL: https://arxiv.org/abs/1005.1819

zbMATH Keywords

measure of noncompactnessbifurcation pointessential mapcondensing mapnonlinear spectral theoryapproximative point spectrum\(0\)-epi mapdefective spectrumnonlinear point spectrum

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Abstract bifurcation theory involving nonlinear operators (47J15) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (3)

Equivariant nonlinear spectrum ⋮ Some remarks on spectrum of nonlinear continuous operators ⋮ Calculation of degree and global bifurcation for variational inequalities with nonsymmetric operators in Banach spaces

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