New variational principle and duality for an abstract semilinear Dirichlet problem

• Autorzy: Marek Galewski
• Języki publikacji: EN

Abstrakty

EN

A new variational principle and duality for the problem Lu = ∇G(u) are provided, where L is a positive definite and selfadjoint operator and ∇G is a continuous gradient mapping such that G satisfies superquadratic growth conditions. The results obtained may be applied to Dirichlet problems for both ordinary and partial differential equations.

Kategorie tematyczne

• 35A15: Variational methods
• 70G99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 82
• Numer: 1
• Strony: 51-60

Daty

wydano

2003

Twórcy

autor

Marek Galewski

• Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Identyfikatory

DOI

10.4064/ap82-1-6