My thesis deals with nonlinear elliptic problems involving a non-local integrodifferential operator of fractional type. Our main results concern the existence of weak solutions for these problems and they are obtained using variational and topological methods.

VARIATIONAL PROBLEMS INVOLVING NON-LOCAL ELLIPTIC OPERATORS / A. Fiscella ; supervisori: E. Valdinoci, R. Servadei; coordinatore: L. Van Geemen. Università degli Studi di Milano, 2014 Dec 12. 27. ciclo, Anno Accademico 2014. [10.13130/fiscella-alessio_phd2014-12-12].

VARIATIONAL PROBLEMS INVOLVING NON-LOCAL ELLIPTIC OPERATORS

A. Fiscella
2014

Abstract

My thesis deals with nonlinear elliptic problems involving a non-local integrodifferential operator of fractional type. Our main results concern the existence of weak solutions for these problems and they are obtained using variational and topological methods.
12-dic-2014
Settore MAT/05 - Analisi Matematica
integrodifferential operators; fractional Laplacian; Saddle Point Theorem; Palais-Smale condition; Stationary Kirchhoff problems; critical nonlinearities; variational methods
VALDINOCI, ENRICO
VALDINOCI, ENRICO
VAN GEEMEN, LAMBERTUS
Doctoral Thesis
VARIATIONAL PROBLEMS INVOLVING NON-LOCAL ELLIPTIC OPERATORS / A. Fiscella ; supervisori: E. Valdinoci, R. Servadei; coordinatore: L. Van Geemen. Università degli Studi di Milano, 2014 Dec 12. 27. ciclo, Anno Accademico 2014. [10.13130/fiscella-alessio_phd2014-12-12].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/245334
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