Weak compactness of solutions for fourth order elliptic systems with critical growth

• Autorzy: Paweł Goldstein , Paweł Strzelecki , Anna Zatorska-Goldstein
• Języki publikacji: EN

Abstrakty

EN

We consider a class of fourth order elliptic systems which include the Euler-Lagrange equations of biharmonic mappings in dimension 4 and we prove that a weak limit of weak solutions to such systems is again a weak solution to a limit system.

Kategorie tematyczne

• 58E20: Harmonic maps , etc.
• 35J60: Nonlinear elliptic equations
• 35J48: Higher-order elliptic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 214
• Numer: 2
• Strony: 137-156

Daty

wydano

2013

Twórcy

autor

Paweł Goldstein

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Polska

autor

Paweł Strzelecki

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Polska

autor

Anna Zatorska-Goldstein

• Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warszawa, Polska

Identyfikatory

DOI

10.4064/sm214-2-3