# 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.

## 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 |