On the existence of multiple positive solutions for a certain class of elliptic problems

• Autorzy: Aleksandra Orpel
• Języki publikacji: EN

Abstrakty

EN

We investigate the existence of solutions for the Dirichlet problem including the generalized balance of a membrane equation. We present a duality theory and variational principle for this problem. As one of the consequences of the duality we obtain some numerical results which give a measure of a duality gap between the primal and dual functional for approximate solutions.

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: Banach Center Publications
• Rocznik: 2004
• Tom: 66
• Numer: 1
• Strony: 251-262

Daty

wydano

2004

Twórcy

autor

Aleksandra Orpel

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

Identyfikatory

DOI

10.4064/bc66-0-17