Nonlinear phenomena described by partial differential equations are of great interest in the natural sciences and technological applications. In recent years the research team has contributed to the understanding of critical phenomena, qualitative properties and optimality, often using variational methods.

Keywords

Nonlinear differential equations, variational methods

Pubblications

Calanchi Marta, Secchi Simone, Terraneo Elide, Multiple solutions for a Hénon-like equation on the annulus, J. Differential Equations,245 (2008), no. 6, 1507--1525.

Cassani Daniele, Ruf Bernhard, Tarsi Cristina, Best constants in a borderline case of second-order Moser type inequalities. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 1, 73--93.

Farina Alberto,Valdinoci Enrico 1D symmetry for solutions of semilinear and quasilinear elliptic equations. Trans. Amer. Math. Soc. 363 (2011), no. 2, 579-609.

Lupo Daniela, Monticelli Dario D., Payne Kevin R. - Spectral Theory for Linear Operators of Mixed Type and Applications to Nonlinear Dirichlet Problems, Comm. Partial Differerntial Equations 37:9 (2012), 1495-1516.

Ruf Bernhard, Sani Federica, Sharp Adams-type inequalities in R^n , Trans. Amer. Math. Soc., S 0002-9947(2012)05561-9 Article electronically published on July 25, 2012

Funded Projects related to the Research Theme

PRIN2005: “Metodi Variazionali e topologici nello studio di fenomeni non-lineari”;

Miur progetto Nazionale "Nonlinear Elliptic Problems in the Study of Vortices and Related Topics"

Components

Members from the Department of Mathematics
Bernhard RUF		info
Enrico VALDINOCI		info
Kevin PAYNE		info
Marta CALANCHI		info
Cristina TARSI		info
Elide TERRANEO		info
Dario MONTICELLI		info
Federica SANI	Assegnista
Nicola ABATANGELO	Dottorando
Matteo COZZI	Dottorando
Alessio FISCELLA	Dottorando
Tommaso PASSALACQUA	Dottorando
Yunied PUIG DE DIOS	Dottorando
Collaborators
Daniele CASSANI	Università dell’Insubria
Begoña BARRIOS	Universidad Autónoma de Madrid