The symbolic triangle: Laplace operator is intimately linked to improvement of regularity for solutions of elliptic equations. In parallel, it is a device that allows us to compare functions. From its remarkable properties we extract the information that emerges in the analysis of PDEs. It is also fundamental to the understanding of functional spaces, and promotes more general operators which broaden the scope of applications of elliptic equations.
However, there are occasions where the Laplacian vanishes, or degenerates. Or it is deformed by nonlinearities. And, if colleagues devoted to evolutionary equations permits the colloquial reference, it is often that the Laplacian has only a tangential relation with the distinguished time variable.
The main goal of DelliRio 2025 is to gather researchers in the field of elliptic and parabolic PDEs with different backgrounds and expertises. We aim to revisit classical tools and its recycling into new problems and applications, and in this way try to profit from the interactions during the conference.
The list of invited speakers include first quality scholars combining some senior researchers mixed with younger ones. There will be some free time for informal discussions. Those who are also interested in the link of the Laplacian with problems outside elliptic equations and other mathematical fields are also welcome to participate.
Scientific Committee
Erwin Topp (Universidade Federal do Rio de Janeiro, BR)
Julio Rossi (Universidad Torcuato di Tella, AR)
Eduardo Teixeira (University of Central Florida, USA)
Manuel del Pino (University of Bath, UK)
Organizing Committee
Erwin Topp (Universidade Federal do Rio de Janeiro, BR)
Julio Rossi (Universidad Torcuato di Tella, AR)
Julio Hoyos (Universidade do Estado do Rio de Janeiro, BR)
Daniela Negreiros (Universidade Federal do Rio de Janeiro,BR)
