Workshop and Conference on Recent Trends in Nonlinear Variational Problems

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Workshop and Conference on Recent Trends in Nonlinear Variational Problems | (smr 1486)

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Tuesday, 22 April 2003

08:30 - 12:00 Registration and administrative formalities
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Registration time: 8:30 - 10:00, in Lobby, Main Building
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- 08:30 Registration and administrative formalities 3h30'
14:00 - 14:15 Opening
- 14:00 Opening 15'

14:15 - 15:15 Critical Point Theory (1)

14:15 Critical Point Theory (1) 1h0'

Speaker:	M. Willem (Universite' Catholique de Louvain, Belgium)
Material:	lecture notes

15:15 - 15:30 Break
- 15:15 Break 15'

15:30 - 16:30 Critical Point Theory (2)

15:30 Critical Point Theory (2) 1h0'

Speaker:	M. Willem (Universite' Catholique de Louvain, Belgium)
Material:	lecture notes

16:30 - 16:45 Break
- 16:30 Break 15'

16:45 - 17:45 Topology and Sobolev spaces (1)

16:45 Topology and Sobolev spaces (1) 1h0'

Speaker:	I. Shafrir (Technion, Haifa, Israel)
Material:	lecture notes

Wednesday, 23 April 2003

09:00 - 10:00 Critical Point Theory (3)

09:00 Critical Point Theory (3) 1h0'

Speaker:	M. Willem (Universite' Catholique de Louvain, Belgium)
Material:	lecture notes

10:00 - 10:30 Break
- 10:00 Break 30'

10:30 - 11:30 Variational methods and elliptic equations in Riemannian geometry (1)

10:30 Variational methods and elliptic equations in Riemannian geometry (1) 1h0'

Speaker:	E. Hebey (Universite' de Cergy-Pontoise, France)
Material:	lecture notes

11:30 - 11:45 Break
- 11:30 Break 15'

11:45 - 12:45 Topology and Sobolev spaces (2)

11:45 Topology and Sobolev spaces (2) 1h0'

Speaker:	I. Shafrir (Technion, Haifa, Israel)
Material:	lecture notes

12:45 - 14:30 Lunch Break
- 12:45 Lunch Break 1h45'

14:30 - 15:30 Critical Point Theory (4)

14:30 Critical Point Theory (4) 1h0'

Speaker:	M. Willem (Universite' Catholique de Louvain, Belgium)
Material:	lecture notes

15:30 - 15:45 Break
- 15:30 Break 15'

15:45 - 16:45 Variational methods and elliptic equations in Riemannian geometry (2)

15:45 Variational methods and elliptic equations in Riemannian geometry (2) 1h0'

Speaker:	E. Hebey (Universite' de Cergy-Pontoise, France)
Material:	lecture notes

Thursday, 24 April 2003

09:00 - 10:00 Critical Point Theory (5)

09:00 Critical Point Theory (5) 1h0'

Speaker:	M. Willem (Universite' Catholique de Louvain, Belgium)
Material:	lecture notes

10:00 - 10:30 Break
- 10:00 Break 30'

10:30 - 11:30 Variational methods and elliptic equations in Riemannian geometry (3)

10:30 Variational methods and elliptic equations in Riemannian geometry (3) 1h0'

Speaker:	E. Hebey (Universite' de Cergy-Pontoise, France)
Material:	lecture notes

11:30 - 11:45 Break
- 11:30 Break 15'

11:45 - 12:45 Topology and Sobolev spaces (3)

11:45 Topology and Sobolev spaces (3) 1h0'

Speaker:	I. Shafrir (Technion, Haifa, Israel)
Material:	lecture notes

12:45 - 14:30 Lunch Break
- 12:45 Lunch Break 1h45'

14:30 - 15:30 Variational methods and elliptic equations in Riemannian geometry (4)

14:30 Variational methods and elliptic equations in Riemannian geometry (4) 1h0'

Speaker:	E. Hebey (Universite' de Cergy-Pontoise, France)
Material:	lecture notes

15:30 - 15:45 Break
- 15:30 Break 15'

15:45 - 16:45 Topology and Sobolev spaces (4)

15:45 Topology and Sobolev spaces (4) 1h0'

Speaker:	I. Shafrir (Technion, Haifa, Israel)
Material:	lecture notes

Friday, 25 April 2003

09:00 - 10:00 Critical Point Theory (6)

09:00 Critical Point Theory (6) 1h0'

Speaker:	M. Willem (Universite' Catholique de Louvain, Belgium)
Material:	lecture notes

10:00 - 10:30 Break
- 10:00 Break 30'

10:30 - 11:30 Variational methods and elliptic equations in Riemannian geometry (5)

10:30 Variational methods and elliptic equations in Riemannian geometry (5) 1h0'

Speaker:	E. Hebey (Universite' de Cergy-Pontoise, France)
Material:	lecture notes

11:30 - 11:45 Break
- 11:30 Break 15'

11:45 - 12:45 Topology and Sobolev spaces (5)

11:45 Topology and Sobolev spaces (5) 1h0'

Speaker:	I. Shafrir (Technion, Haifa, Israel)
Material:	lecture notes

12:45 - 14:30 Lunch Break
- 12:45 Lunch Break 1h45'

14:30 - 15:30 Variational methods and elliptic equations in Riemannian geometry (6)

14:30 Variational methods and elliptic equations in Riemannian geometry (6) 1h0'

Speaker:	E. Hebey (Universite' de Cergy-Pontoise, France)
Material:	lecture notes

15:30 - 15:45 Break
- 15:30 Break 15'

15:45 - 16:45 Topology and Sobolev spaces (6)

15:45 Topology and Sobolev spaces (6) 1h0'

Speaker:	I. Shafrir (Technion, Haifa, Israel)
Material:	lecture notes

Monday, 28 April 2003

09:30 - 10:30 Biharmonic maps, regularity and existence results (1)

09:30 Biharmonic maps, regularity and existence results (1) 1h0'

Speaker:	L. Wang (University of Iowa, USA)
Material:	lecture notes

10:30 - 11:00 Break
- 10:30 Break 30'

11:00 - 12:00 Nonlinear Schroedinger equations: bound states and semiclassical limits (1)

11:00 Nonlinear Schroedinger equations: bound states and semiclassical limits (1) 1h0'

Speaker:	P. Felmer (Universidad de Chile, Santiago)
Material:	lecture notes

12:00 - 14:30 Lunch Break
- 12:00 Lunch Break 2h30'

14:30 - 15:30 Biharmonic maps, regularity and existence results (2)

14:30 Biharmonic maps, regularity and existence results (2) 1h0'

Speaker:	L. Wang (University of Iowa, USA)
Material:	lecture notes

Tuesday, 29 April 2003

09:00 - 10:00 Nonlinear Schroedinger equations: bound states and semiclassical limits (2)

09:00 Nonlinear Schroedinger equations: bound states and semiclassical limits (2) 1h0'

Speaker:	P. Felmer (Universidad de Chile, Santiago)
Material:	lecture notes

10:00 - 10:30 Break
- 10:00 Break 30'

10:30 - 11:45 Fully nonlinear equations in conformal geometry, Ricci curvature (1)

10:30 Fully nonlinear equations in conformal geometry, Ricci curvature (1) 1h15'

Speaker:	M.J. Gursky (University of Notre Dame, USA)
Material:	lecture notes

11:30 - 11:45 Break
- 11:30 Break 15'

11:45 - 12:45 Higher order equations. Q-curvatures. Relation with spectral invariants. Applications to Kleinian groups (1)

11:45 Higher order equations. Q-curvatures. Relation with spectral invariants. Applications to Kleinian groups (1) 1h0'

Speaker:	J. Qing (University of California at Santa Cruz, USA)
Material:	lecture notes

12:45 - 14:30 Lunch break
- 12:45 Lunch break 1h45'

14:30 - 15:30 Biharmonic maps, regularity and existence results (3)

14:30 Biharmonic maps, regularity and existence results (3) 1h0'

Speaker:	L. Wang (University of Iowa, USA)
Material:	lecture notes

15:30 - 15:45 Break
- 15:30 Break 15'

15:45 - 16:45 Fully nonlinear equations in conformal geometry, Ricci curvature (2)

15:45 Fully nonlinear equations in conformal geometry, Ricci curvature (2) 1h0'

Speaker:	M.J. Gursky (University of Notre Dame, USA)
Material:	lecture notes

16:45 - 17:00 Break
- 16:45 Break 15'

17:00 - 18:00 Higher order equations. Q-curvatures. Relation with spectral invariants. Applications to Kleinian groups (2)

17:00 Higher order equations. Q-curvatures. Relation with spectral invariants. Applications to Kleinian groups (2) 1h0'

Speaker:	J. Qing (University of California at Santa Cruz, USA)
Material:	lecture notes

Wednesday, 30 April 2003

09:00 - 10:00 Nonlinear Schroedinger equations: bound states and semiclassical limits (3)

09:00 Nonlinear Schroedinger equations: bound states and semiclassical limits (3) 1h0'

Speaker:	P. Felmer (Universidad de Chile, Santiago)
Material:	lecture notes

10:00 - 10:30 Break
- 10:00 Break 30'

10:30 - 11:30 Ginzburg-Landau problems (1)

10:30 Ginzburg-Landau problems (1) 1h0'

Speaker:	F. Bethuel (Universite' Paris 6, France)
Material:	lecture notes

11:30 - 11:45 Break
- 11:30 Break 15'

11:45 - 12:45 Concentrating solutions in nonlinear elliptic problems (1)

11:45 Concentrating solutions in nonlinear elliptic problems (1) 1h0'

Speaker:	A. Malchiodi (IAS, Princeton, USA)
Material:	lecture notes

12:45 - 14:30 Lunch break
- 12:45 Lunch break 1h45'

14:30 - 15:30 Higher order equations. Q-curvatures. Relation with spectral invariants. Applications to Kleinian groups (3)

14:30 Higher order equations. Q-curvatures. Relation with spectral invariants. Applications to Kleinian groups (3) 1h0'

Speaker:	J. Qing (Univesity of California at Santa Cruz, USA)
Material:	lecture notes

15:30 - 15:45 Break
- 15:30 Break 15'

15:45 - 16:45 Ginzburg-Landau problems (2)

15:45 Ginzburg-Landau problems (2) 1h0'

Speaker:	F. Bethuel (Universite' Paris 6, France)
Material:	lecture notes

Thursday, 1 May 2003

09:00 - 10:00 Fully nonlinear equations in conformal geometry, Ricci curvature (3)

09:00 Fully nonlinear equations in conformal geometry, Ricci curvature (3) 1h0'

Speaker:	M.J. Gursky (University of Notre Dame, USA)
Material:	lecture notes

10:00 - 10:30 Break
- 10:00 Break 30'

10:30 - 11:30 Ginzburg-Landau problems (3)

10:30 Ginzburg-Landau problems (3) 1h0'

Speaker:	F. Bethuel (Universite' Paris 6, France)
Material:	lecture notes

11:30 - 11:45 Break
- 11:30 Break 15'

11:45 - 12:45 Vorticity and critical fields in Ginzburg-Landau model (1)

11:45 Vorticity and critical fields in Ginzburg-Landau model (1) 1h0'

Speaker:	E. Sandier (Universite' Paris 12, France)
Material:	lecture notes

12:45 - 14:30 Lunch break
- 12:45 Lunch break 1h45'

14:30 - 15:30 Vorticity and critical fields in Ginzburg-Landau model (2)

14:30 Vorticity and critical fields in Ginzburg-Landau model (2) 1h0'

Speaker:	E. Sandier (Universite' Paris 12, France)
Material:	lecture notes

15:30 - 15:45 Break
- 15:30 Break 15'

15:45 - 16:45 Homotopy and Sobolev spaces (1)

15:45 Homotopy and Sobolev spaces (1) 1h0'

Speaker:	P. Mironescu (Universite' Paris-Sud, France)
Material:	lecture notes

Friday, 2 May 2003

09:00 - 10:00 Vorticity and critical fields in Ginzburg-Landau model (3)

09:00 Vorticity and critical fields in Ginzburg-Landau model (3) 1h0'

Speaker:	E. Sandier (Universite' Paris 12, France)
Material:	lecture notes

10:00 - 10:30 Break
- 10:00 Break 30'

10:30 - 11:30 Homotopy and Sobolev spaces (2)

10:30 Homotopy and Sobolev spaces (2) 1h0'

Speaker:	P. Mironescu (Universite' Paris-Sud, France)
Material:	lecture notes

11:30 - 11:45 Break
- 11:30 Break 15'

11:45 - 12:45 Concentrating solutions in nonlinear elliptic problems (2)

11:45 Concentrating solutions in nonlinear elliptic problems (2) 1h0'

Speaker:	A. Malchiodi (IAS, Princeton, USA)
Material:	lecture notes

12:45 - 14:30 Lunch break
- 12:45 Lunch break 1h45'

14:30 - 15:30 Concentrating solutions in nonlinear elliptic problems (3)

14:30 Concentrating solutions in nonlinear elliptic problems (3) 1h0'

Speaker:	A. Malchiodi (IAS, Princeton, USA)
Material:	lecture notes

15:30 - 15:45 Break
- 15:30 Break 15'

15:45 - 16:45 Homotopy and Sobolev spaces (3)

15:45 Homotopy and Sobolev spaces (3) 1h0'

Speaker:	P. Mironescu (Universite' Paris-Sud, France)
Material:	lecture notes

Monday, 5 May 2003
- 09:00 - 10:00 Vortex-ring for the Gross-Pitaevskii equation.
  - 09:00 Vortex-ring for the Gross-Pitaevskii equation. 1h0'
    
    Speaker: F. Bethuel (Université Paris 6, France)
- 10:00 - 10:30 Break
  - 10:00 Break 30'
- 10:30 - 11:30 Applications of fully nonlinear equations to some higher order elliptic problems.
  - 10:30 Applications of fully nonlinear equations to some higher order elliptic problems. 1h0'
    
    Speaker: M.J. Gursky (University of Notre Dame, USA)
- 11:30 - 12:30 Density of smooth maps in classes of S^1-valued maps.
  - 11:30 Density of smooth maps in classes of S^1-valued maps. 1h0'
    
    Speaker: P. Mironescu (Université Paris-Sud, France)
- 12:30 - 14:30 Lunch
  - 12:30 Lunch 2h0'
- 14:30 - 15:30 Elliptic equations on some fractal domains.
  - 14:30 Elliptic equations on some fractal domains. 1h0'
    
    Speaker: L. Wang (University of Iowa, USA)
Tuesday, 6 May 2003
- 09:00 - 10:00 A new method to detect topological singularities. Application to Ginzburg-Landau.
  - 09:00 A new method to detect topological singularities. Application to Ginzburg-Landau. 1h0'
    
    Speaker: H. Brézis (Université Paris 6, France)
- 10:00 - 10:30 Break
  - 10:00 Break 30'
- 10:30 - 11:30 Removability of point singularities of Willmore surfaces
  - 10:30 Removability of point singularities of Willmore surfaces 1h0'
    
    Speaker: E.C. Kuwert (Albert-Ludwigs-Universität, Freiburg, Germany)
- 11:30 - 12:30 Standing waves with a critical frequency for nonlinear Schrödinger equations.
  - 11:30 Standing waves with a critical frequency for nonlinear Schrödinger equations. 1h0'
    
    Speaker: J. Byeon (POSTECH, Korea)
- 12:30 - 14:30 Lunch
  - 12:30 Lunch 2h0'
- 14:30 - 15:30 On the distributions of the form $sum_i{ ( delta_{p_i} - delta_{n_i} ) }$
  - 14:30 On the distributions of the form $sum_i{ ( delta_{p_i} - delta_{n_i} ) }$ 1h0'
    
    Speaker: A.C. Ponce (Université Paris 6, France)
Wednesday, 7 May 2003
- 09:00 - 10:00 Bubbles over bubbles, elliptic equations and blow up theory.
  - 09:00 Bubbles over bubbles, elliptic equations and blow up theory. 1h0'
    
    Speaker: E. Hebey (Université de Cergy-Pontoise, France)
- 10:00 - 10:30 Break
  - 10:00 Break 30'
- 10:30 - 11:30 Construction of multidimensional spike-layers.
  - 10:30 Construction of multidimensional spike-layers. 1h0'
    
    Speaker: A. Malchiodi (IAS, Princeton, U.S.A.)
- 11:30 - 12:30 Convergence of the parabolic Ginzbug-Landau equation to motion by mean curvature.
  - 11:30 Convergence of the parabolic Ginzbug-Landau equation to motion by mean curvature. 1h0'
    
    Speaker: D. Smets (Université Paris 6, France)
- 12:30 - 14:30 Lunch
  - 12:30 Lunch 2h0'
- 14:30 - 15:30 From one bubble to several bubbles: the effect of the geometry.
  - 14:30 From one bubble to several bubbles: the effect of the geometry. 1h0'
    
    Speaker: O. Druet (Ecole Normale Supérieure de Lyon, France)
Thursday, 8 May 2003
- 09:00 - 10:00 On the stability of H-bubbles.
  - 09:00 On the stability of H-bubbles. 1h0'
    
    Speaker: R. Musina (Università di Udine, Italy)
- 10:00 - 10:30 Break
  - 10:00 Break 30'
- 10:30 - 11:30 Some existence results for semilinear equations via topological methods.
  - 10:30 Some existence results for semilinear equations via topological methods. 1h0'
    
    Speaker: F. Zhou (East China Normal University, P.R. China)
- 11:30 - 12:30 Some almost critical problems in two dimensions.
  - 11:30 Some almost critical problems in two dimensions. 1h0'
    
    Speaker: M. Grossi (Università di Roma "La Sapienza", Italy)
- 12:30 - 14:30 Lunch
  - 12:30 Lunch 2h0'
- 14:30 - 15:30 Nonlocal population dynamics.
  - 14:30 Nonlocal population dynamics. 1h0'
    
    Speaker: L. Dupaigne (Université Paris 6, France)
Friday, 9 May 2003
- 09:00 - 10:00 Critical elliptic equations of Caffarelli-Kohn-Nirenberg type.
  - 09:00 Critical elliptic equations of Caffarelli-Kohn-Nirenberg type. 1h0'
    
    Speaker: V. Felli (SISSA, Trieste, Italy)
- 10:00 - 10:30 Break
  - 10:00 Break 30'
- 10:30 - 11:30 Bubbling off and existence results for scalar curvature problem on half spheres.
  - 10:30 Bubbling off and existence results for scalar curvature problem on half spheres. 1h0'
    
    Speaker: M. Ould Ahmedou (Universität Bonn, Germany)
- 11:30 - 12:30 On conformally compact Einstein 4-manifold.
  - 11:30 On conformally compact Einstein 4-manifold. 1h0'
    
    Speaker: S.-Y.A. Chang (Princeton University, USA)