Insalata di Matematica "Symmetry of solutions to semilinear PDEs on warped product manifolds"

Mercoledì 22 Febbraio 2023, alle 4:00 pm (CET) in aula U5-3014, nel quadro della serie di seminari Insalate di Matematica, Andrea Bisterzo (Milano Bicocca) parlerà di

Title"Symmetry of solutions to semilinear PDEs on warped product manifolds"

 
Abstract
In this talk we will see how the stability of a solution to a Dirichlet semilinear problem in a warped product manifold implies the (radial) symmetry of the solution itself.

More in detail, we will consider two symmetry results for solutions to Δu = ƒ(u). The first one concerns the case in which the (annular) domain has homogeneous leaves, that is, it has a sufficient number of isometries acting transitively on each leaf. The second one deals with the case in which this abundance of isometries may fail, forcing us to use some tools from potential theory.

 

 

 

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