TY - JOUR
T1 - On Positive Solutions for Semilinear Elliptic Equations with an Indefinite Nonlinearity Via Bifurcation
JO - Journal of Partial Differential Equations
VL - 2
SP - 133
EP - 150
PY - 2000
DA - 2000/05
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5502.html
KW - Existence
KW - bifurcation
KW - a priori estimates
KW - indefinite
KW - maximum principles
AB -  Existence of a positive solution was establsihed via bifurcation theory for sernilinear elliptic boundary value problems. With the aid of maximum principles and a priori estimates, global behavior of the bifurcation curve was obtained. In particular, a general sufficient condition was given for existence of multiple positive solutions when the nonlinearity is sub-critical and indefinite.