Elvise Berchio

Full Professor
Department of Mathematical Sciences (DISMA)


Research interests

dynamical systems
hardy inequality
partial differential equation

Research topics

  • - Optimal inequalities of Sobolev, Hardy, Rellich type on the euclidean space and on riemannian manifolds - Higher order partial differential equations: elliptic and parabolic, at critical growth, under nonstandard boundary conditions - Mathematical models for bridges: PDEs and ODEs models of the fourth order


ERC sectors

PE1_8 - Analysis
PE1_11 - Theoretical aspects of partial differential equations


Editorial boards

  • RENDICONTI DEL SEMINARIO MATEMATICO (2019-), Editorial board member

Other research or teaching roles outside Politecnico

  • Ricercatore a t.d. (art.1 comma 14 L. 230/05), presso Politecnico di MILANO (1/10/2009-15/12/2012)


Courses of Study Boards


Bachelor of Science

MostraNascondi A.A. passati


Research groups

Research projects

Projects funded by competitive calls

  • Direct and inverse problems for partial differential equations: theoretical aspects and applications, (2019-2022) - Responsabile Scientifico
    Nationally funded research - PRIN
  • ASPETTI GEOMETRICI E QUALITATIVI DI EDP, (2014-2017) - Responsabile Scientifico
    Nationally funded research - FIRB


Publications by type

Last years publications

Last years publications View all publications in Porto@Iris

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