TY - JOUR
T1 - On the Existence of Positive Solutions for a Class of Semilinear Elliptic Systems
AU - Zongming Guo 
JO - Journal of Partial Differential Equations
VL - 3
SP - 193
EP - 212
PY - 1997
DA - 1997/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5592.html
KW - Semilinear elliptic systems
KW - positive solutions
KW - blow up argument
KW - degree theory
KW - polyharmonic semilinear equations
AB -  We study the existence of positive solutions for a class of semilinear ellipcic systems in general domains via the blow up argument and degree theory. The main idea can be used to establish the existence of positive solutions for the Navier problems of polyharmonic semilinear equations in general domains.