Existence and stability of solutions for semilinear Dirichlet problems

• Autorzy: Marek Galewski
• Języki publikacji: EN

Abstrakty

EN

We provide existence and stability results for semilinear Dirichlet problems with nonlinearities satisfying some general local growth conditions. We derive a general abstract result which we then apply to prove the existence of solutions, their stability and continuous dependence on parameters for a sixth order ODE with Dirichlet type boundary data.

Kategorie tematyczne

• 35A15: Variational methods
• 34D99: None of the above, but in this section
• 34B99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2006
• Tom: 88
• Numer: 2
• Strony: 127-139

Daty

wydano

2006

Twórcy

autor

Marek Galewski

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

Identyfikatory

DOI

10.4064/ap88-2-4