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Partial Differential Equations and Nonlinear Analysis  

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.


Nonlinear differential equations, variational methods


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"


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 SANIAssegnista 
Nicola ABATANGELODottorando  
Matteo COZZIDottorando          
Alessio FISCELLADottorando 
Tommaso PASSALACQUADottorando 
Yunied PUIG DE DIOSDottorando 
Daniele CASSANIUniversità dell’Insubria 
Begoña BARRIOSUniversidad Autónoma de Madrid 
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