We prove existence results for positive bounded continuous solutions of a nonlinear polyharmonic system by using a potential theory approach and properties of a large functional class
called Kato class.
Sabrine Gontara, Zagharide Zine El Abidine
Abstract:
We prove existence results for positive bounded continuous
solutions of a nonlinear polyharmonic system by using a potential
theory approach and properties of a large functional class
called Kato class.
Submitted June 6, 2010. Published August 16, 2010.
Math Subject Classifications: 34B27, 35J40.
Key Words: Green function; Kato class; positive bounded solution;
Shauder fixed point theorem; polyharmonic elliptic system.
Show me the PDF file (274 KB), TEX file, and other files for this article.
 |
Sabrine Gontara Département de mathématiques Faculte des sciences de Tunis, campus universitaire 2092 Tunis, Tunisia email: sabrine-28@hotmail.fr |
|---|---|
 |
Zagharide Zine El Abidine Département de mathématiques Faculte des sciences de Tunis, campus universitaire 2092 Tunis, Tunisia email: Zagharide.Zinelabidine@ipeib.rnu.tn |
Return to the EJDE web page