Dirichlet problems without convexity assumption

• Autorzy: Aleksandra Orpel
• Języki publikacji: EN

Abstrakty

EN

We deal with the existence of solutions of the Dirichlet problem for sublinear and superlinear partial differential inclusions considered as generalizations of the Euler-Lagrange equation for a certain integral functional without convexity assumption. We develop a duality theory and variational principles for this problem. As a consequence of the duality theory we give a numerical version of the variational principles which enables approximation of the solution for our problem.

Kategorie tematyczne

• 35J20: Variational methods for second-order elliptic equations
• 35J25: Boundary value problems for second-order elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 85
• Numer: 3
• Strony: 193-210

Daty

wydano

2005

Twórcy

autor

Aleksandra Orpel

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

Identyfikatory

DOI

10.4064/ap85-3-1