In this talk, we present an existence result for semilinear elliptic problems of the form
-Delta u + u = f(u), u > 0, u in H^1_0(A),
where A denotes either an annulus or the exterior of a ball in R...
Abstract: We study the limiting case $\gamma\to(1/2)^-$ in dimension one for the fractional Caffarelli-Kohn-Nirenberg inequality, obtaining Onofri's inequality in the unit disk as a limit. An importan...
In this talk I will present some recent results regarding some
open problem for a classical critical problem in a bounded domain in low
dimensions. We will discuss the question of the existence of pos...
I will talk about a research project with Y. Achdou, A. Cutri', C. Marchi and N. Tchou about some models of degenerate deterministic Mean Field Games (MFG).
These games are modelized by a system of tw...
The chiralization in the title denotes a certain procedure which turns cluster X-varieties into q-W algebras. Many important notions from cluster and q-W worlds, such as mutations, global functions, s...
For a real quadratic field K and positive integer r, we prove
an asymptotic formula for the number of rational integers of bounded
absolute value that can be written as a sum of r units of the ring of...
The Aztec diamond, under the uniform measure on domino tilings, is one of the classic examples of an exactly solvable model in probability and statistical mechanics. Its rich geometric features—such a...
