scientific article; zbMATH DE number 2075141
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Publication:4469625
zbMath1064.47060MaRDI QIDQ4469625
Publication date: 15 June 2004
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existence theorems\(p\)-Laplacianhomogeneous operatorssemilinear elliptic problemsnonlinear spectral theoryisolated eigenvaluesconnected eigenvalues
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Degenerate elliptic equations (35J70) Degree theory for nonlinear operators (47H11) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32)
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The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory ⋮ Global continuation of the eigenvalues of a perturbed linear operator ⋮ Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces ⋮ Global continuation in Euclidean spaces of the perturbed unit eigenvectors corresponding to a simple eigenvalue ⋮ Topological persistence of the unit eigenvectors of a perturbed Fredholm operator of index zero ⋮ Approximation and convergence rate of nonlinear eigenvalues: Lipschitz perturbations of a bounded self-adjoint operator ⋮ Topological persistence of the normalized eigenvectors of a perturbed self-adjoint operator ⋮ Global perturbation of nonlinear eigenvalues ⋮ Eigenvalue problems for Fredholm operators with set-valued perturbations ⋮ A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory
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