In this thesis we study semilinear elliptic problems of second and fourth order using some well known functional inequalities, as Hardy-Sobolev inequalities and Trudinger-Moser inequalities. We prove existence and non existence of solutions, regularity of solutions and a priori estimates for solutions.
SOME APPLICATIONS OF FUNCTIONAL INEQUALITIES TO SEMILINEAR ELLIPTIC EQUATIONS
PASSALACQUA, TOMMASO
2015
Abstract
In this thesis we study semilinear elliptic problems of second and fourth order using some well known functional inequalities, as Hardy-Sobolev inequalities and Trudinger-Moser inequalities. We prove existence and non existence of solutions, regularity of solutions and a priori estimates for solutions.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.14242/74933
Il codice NBN di questa tesi è
URN:NBN:IT:UNIMI-74933