We present existence result for the polyharmonic nonlinear problem
in the sense of distributions. Here are positive integers, is the unit ball in and the nonlinearity is a sum of a singular and sublinear terms satisfying some appropriate conditions related to a polyharmonic Kato class of functions .
Submitted May 10, 2006. Published August 31, 2006.
Math Subject Classifications: 34B27, 35J40.
Key Words: Green function; higher-order elliptic equations; positive solution; Schauder fixed point theorem.
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| Imed Bachar |
Département de mathématiques
Faculté des sciences de Tunis
campus universitaire, 2092 Tunis, Tunisia
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