raffaele chiappinelli (0000-0003-3412-3247)

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Biography

Laurea in Physics, Università di Napoli (1974).
Research Fellow, then Assistant Professor, of Mathematical Analysis, Faculty of Natural Sciences, Università della Calabria (1976-1986).
Ph.D., University of Sussex, UK (1986) with a dissertation on "Some Problems in Nonlinear Spectral Theory". Advisor: David Eric Edmunds.
Associate Professor of Mathematical Analysis, Faculty of Natural Sciences, Università della Calabria (1986-1994).
Associate Professor of Mathematical Analysis, Faculty of Natural Sciences, Università di Siena (1994-2018).
Research interests: Eigenvalue problems and spectral theory for nonlinear operators acting in Banach and especially Hilbert spaces. Bifurcation theory. Applications to ordinary and partial differential equations.

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Differential equations, fourier series, and hilbert spaces

de Gruyter

2023-10-18 | Book

Contributors: raffaele chiappinelli

raffaele chiappinelli

https://orcid.org/0000-0003-3412-3247

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Works (31)

Differential equations, fourier series, and hilbert spaces

Remarks on surjectivity of gradient operators

Measure of noncompactness, surjectivity of gradient operators and an application to the p-Laplacian

Nonlinear rayleigh quotients and nonlinear spectral theory

Surjectivity of coercive gradient operators in Hilbert space and nonlinear spectral theory

What do you mean by "nonlinear eigenvalue problems"?

Approximation and convergence rate of nonlinear eigenvalues: Lipschitz perturbations of a bounded self-adjoint operator

Topological persistence of the unit eigenvectors of a perturbed fredholm operator of index zero

Persistence of the normalized eigenvectors of a perturbed operator in the variational case

Variational Methods for NLEV Approximation Near a Bifurcation Point

A new theme in nonlinear analysis: Continuation and bifurcation of the unit eigenvectors of a perturbed linear operator

Topological persistence of the normalized eigenvectors of a perturbed self-adjoint operator

Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations

A-priori bounds and asymptotics on the eigenvalues in bifurcation problems for perturbed self-adjoint operators

An application of Ekeland's Variational Principle to the spectrum of nonlinear homogeneous gradient operators

Normalized eigenvectors of a perturbed linear operator via general bifurcation

Eigenvalues of homogeneous gradient mappings in Hilbert space and the Birkhoff-Kellogg theorem

Nonlinear homogeneous perturbation of the discrete spectrum of a self-adjoint operator and a new Constrained Saddle Point Theorem

Locating the point spectrum of some semilinear elliptic operators

On the number of critical points of A C<sup>1</sup> function on the sphere

Constrained critical points and eigenvalue approximation for semilinear elliptic operators

An estimate on the eigenvalues in bifurcation for gradient mappings

Compact Embeddings of Some Weighted Sobolev Spaces on RN

The nemitskii operator in hölder spaces: Some necessary and sufficient conditions

Bifurcation from infinity and multiple solutions for an elliptic system

Eigenvalue asymptotics and a non-linear Schrödinger equation

Bifurcation from infinity and multiple solutions for some Dirichlet problems with unbounded nonlinearities

On spectral asymptotics and bifurcation for elliptic operators with odd superlinear term

Remarks on bifurcation for elliptic operators with odd nonlinearity

Generalized Ambrosetti-Prodi conditions for nonlinear two-point boundary value problems

Bifurcation when the linearized problem has no eigenvalues