Plenary and public lectures
Kawohl B. Partial Differential Equations 10 , No.
- mathematics and statistics online.
- Partial Differential Equations in Action: From Modelling to Theory.
- The minimal regularity Dirichlet problem for elliptic PDEs beyond symmetric coefficients;
- Seal Team Seven 14: Death Blow.
Makar-Limanov L. Notes 9 , No. Rivera A.
Sakaguchi S. Pucci P. Arango, J.
- Furtado : Nodal solutions for a nonhomogeneous elliptic equation with symmetry?
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- Elements of Algebraic Topology;
- Symmetry for Elliptic PDEs.
- Submission history.
Temas Mat. E-mail: andresmsalazar javerianacali. Services on Demand Article. Spanish pdf Article in xml format Article references How to cite this article Automatic translation Send this article by e-mail.
Critical points and symmetries in elliptic problems
Abstract: In this paper we estimate an upper bound for the number of critical points of the solution to a semilinear elliptic problem with vanishing Dirichlet condition on a bounded planar domain. Key words: Maximum principle; critical points; connected component; symmetry.
Referencias 1. Recibido: Septiembre de ; Aprobado: Abril de We will discuss the state of our understanding of 2D percolation, and will present a recent joint work with Mikhail Khristoforov, giving a new proof of its conformal invariance at criticality. Date: Monday ; Time: ; Location: building U-2, auditorium.
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It is motivated from the theory of Mirror symmetry in string theory. I shall also talk about its algebraic geometric meaning. In the last few years microlocal methods have been applied to the study of classical dynamical problems, in particular of chaotic flows. That followed the introduction of specially tailored spaces by Blank-Keller-Liverani, Baladi-Tsujii and other dynamicists and their microlocal interpretation by Faure-Sjoestrand and by Dyatlov and the speaker.
In this talk I'll give a general overview, accessible also to non-specialists, of the optimal transport problem.
Then I'll show some applications of this theory to soap bubbles isoperimetric inequalities and clouds semigeostrophic equations , problems on which I worked over the last 10 years. Finally, I will conclude with a brief description of some results that I recently obtained on the study of ice melting into water.
Related Symmetry for Elliptic PDEs
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