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Lundi 23 Mai
| Heure: |
14:00 - 16:00 |
| Lieu: |
Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13 |
| Résumé: |
EDP & Physique mathématique - Ground states and bound states for the semilinear curl-curl problem - |
| Description: |
Jaroslaw MederskiWe look for solutions to the curl-curl problem involving a nonlinearity
with subcritical or Sobolev-critical exponent. The problem comes from
the time-harmonic Maxwell equations, where a medium is surrounded by a
perfect conductor or is the whole three-dimensional space. The equation
involving the critical exponent appears also in the search of zero modes
for the spinor equation. We build a functional setting and a
variational approach for this strongly indefinite problem will be
presented. We show the existence of ground states and bound states. |
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