Giorgio Fusco, Università dell Aquila
Equivariant entire solutions to elliptic
systems with variational structure
Thursday, November 19 2009, at 15:00
Università di Milano Bicocca, Dipartimento di Matematica e Applicazioni, aula 3014 edificio U5 III piano |
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Abstract
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We consider the elliptic system
$$ \Delta u = W_u(u), \quad
x\in\mathbb{R}^n, $$
for a class of potentials $W : \mathbb{R}^n \to\mathbb{R}$ that possess
several global minima and are
invariant under a finite or discrete reflection group $G$ acting on
$\mathbb{R}^n$. We establish existence of nontrivial $G$−equivariant
entire solutions $u : \mathbb{R}^n \to\mathbb{R}^n$ connecting the
global minima of $W$. If $G$ is a discrete (infinite) group the solution
$u$ has a kind of crystalline periodic structure and existence is ensured
provided the elementary cell contains a ball of radius $R^*$
with $R^*$ a constant that depends only on $W$. |
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Bernard Helffer, Université de Paris XI
On Nodal domains and spectral minimal partitions: new results and open problems
Monday, October 26 2009, at 17:00
Università di Milano-Bicocca, Dipartimento di Matematica e Applicazioni, aula 45 II piano | |
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Wei-Min Wang, Université Paris-Sud
Spectral method in Hamiltonian PDE
Monday, October 12 2009, at 17:30
Dipartimento di Matematica, Universita di Milano | |
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Jun-Cheng Wei, The Chinese University of Hong Kong
On De Giorgi Conjecture and Beyond
Friday, October 02 2009, at 15:00
TBA | |
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Neil Trudinger, Australian National University
Optimal Transportation in the 21st century
Tuesday, September 29 2009, at 16:30
Dipartimento di Matematica, Università di Milano - Via Saldini 50, Aula Chisini | |
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Eduard Feireisl, Mathematical Institute, Czech Academy of Sciences
Asymptotic analysis in thermodynamics of viscous fluids
Monday, September 21 2009, at 17:30
Dipartimento di Matematica, Politecnico di Milano, Aula Consiglio VII piano | |
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