Analysis of PDEs and Free Boundary Problems
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Stefano Biagi
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Polytechnic University of Marche
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Italy
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Eugenio Vecchi
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Politecnico di Milano
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Italy
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Serena Dipierro
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The University of Western Australia
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Italy
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Abstract:
| | The purpose of this Special Section is to present some recent trends and progress in the analysis of PDEs.
Our aim is to cover as much ``PDEs settings`` as possible, and to create profitable exchanges of ideas among these settings.
For example, the contributes that we have in mind focus on:
(1) Linear PDEs of integer and fractional orders in Euclidean setting (harmonic and poly-harmonic operators, fractional Laplacian...);
(2) Semi-linear and/or fully non-linear PDEs in Euclidean setting (p-Laplacian and fractional p -Laplacian);
(3) Linear PDEs on Riemannian and sub-Riemannian manifolds;
(4) Free boundary problems.
As it regards the type of results that we expect, we are completely open-minded: existence and non-existence results; multiplicity of solutions and Gibbons-type results; maximum principles and applications to the symmetry of solutions; qualitative results such as Harnack`s inequalities; regularity of the free boundary in various settings.
The list of (possible) speakers that we have in mind comprehends both young talented researchers and worldwide recognized experts of PDEs. |
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List of approved abstract |
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