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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

FISCELLA, ALESSIO
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.
MATEMATICA
12-dic-2014
Inglese
integrodifferential operators; fractional Laplacian; Saddle Point Theorem; Palais-Smale condition; Stationary Kirchhoff problems; critical nonlinearities; variational methods
VALDINOCI, ENRICO
VALDINOCI, ENRICO
VAN GEEMEN, LAMBERTUS
Università degli Studi di Milano
Università degli Studi di Milano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14242/82546
Il codice NBN di questa tesi è URN:NBN:IT:UNIMI-82546