Final Report Summary - EPSILON (Elliptic Pdes and Symmetry of Interfaces and Layers for Odd Nonlinearities)
We have developed intense research in the fields of partial differential equations, integro-differential equations, geometric measure theory and calculus of variations. About 70 papers are listed in MathSciNet as authored by the PI in the report period, all published in international peer review journals (other preprints have been also submitted).
Many of these papers have been published in top journals and all the preprints are freely available online.
At the moment, according to Mathscinet, one of the papers coauthored by the PI is ranked first among all the articles published in 2015, with 52 citations.
One of the papers coauthored by the PI is ranked first among all the articles published in 2013, with 96 citations.
One of the papers coauthored by the PI is ranked first among all the articles published in 2012, with 299 citations (in this year, the PI has also coauthored the paper which is ranked third, with 104 citations).
The results obtained lead to a deeper understanding of some basic questions of the problems studied, and not only they possess a sound mathematical importance but also a concrete meaning and are feasible for applications, in particular in physics and biology.
Some of the results are also simple to state and can be effectively communicated and promote scientific discussions and cross interactions.
The project dedicated a great attention to dissemination activities and interaction with other scientists. The PI has delivered about forty-three conferences as invited speaker during the report period, plus five research mini-courses at international institutions.
Also, 14 workshops have been organised during the report period, all with an excellent feedback in terms of participation and interactions.
This intense scientific activity was made possible by a synergic and strategic combination of personal funds and public resources.
Many of these papers have been published in top journals and all the preprints are freely available online.
At the moment, according to Mathscinet, one of the papers coauthored by the PI is ranked first among all the articles published in 2015, with 52 citations.
One of the papers coauthored by the PI is ranked first among all the articles published in 2013, with 96 citations.
One of the papers coauthored by the PI is ranked first among all the articles published in 2012, with 299 citations (in this year, the PI has also coauthored the paper which is ranked third, with 104 citations).
The results obtained lead to a deeper understanding of some basic questions of the problems studied, and not only they possess a sound mathematical importance but also a concrete meaning and are feasible for applications, in particular in physics and biology.
Some of the results are also simple to state and can be effectively communicated and promote scientific discussions and cross interactions.
The project dedicated a great attention to dissemination activities and interaction with other scientists. The PI has delivered about forty-three conferences as invited speaker during the report period, plus five research mini-courses at international institutions.
Also, 14 workshops have been organised during the report period, all with an excellent feedback in terms of participation and interactions.
This intense scientific activity was made possible by a synergic and strategic combination of personal funds and public resources.