Continuous dependence on function parameters for superlinear Dirichlet problems

• Autorzy: Aleksandra Orpel
• Języki publikacji: EN

Abstrakty

EN

We discuss the existence of solutions for a certain generalization of the membrane equation and their continuous dependence on function parameters. We apply variational methods and consider the PDE as the Euler-Lagrange equation for a certain integral functional, which is not necessarily convex and coercive. As a consequence of the duality theory we obtain variational principles for our problem and some numerical results concerning approximation of 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: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 103
• Numer: 1
• Strony: 131-148

Daty

wydano

2005

Twórcy

autor

Aleksandra Orpel

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

Identyfikatory

DOI

10.4064/cm103-1-14