TY - JOUR
A2 - Kenmochi, Nobuyuki
AU - Hsu, Tsing-San
PY - 2011
DA - 2011/06/28
TI - Multiple Positive Solutions for Semilinear Elliptic Equations with Sign-Changing Weight Functions in
SP - 864296
VL - 2011
AB - Existence and multiplicity of positive solutions for the followingsemilinear elliptic equation: −Δu+u=a(x)|u|p−2u+λb(x)|u|q−2u in ℝN, u∈H1(ℝN), are established, where λ>0,1<q<2<p<2* (2*=2N/(N−2) if N≥3,2*=∞ if N=1,2), a, b satisfy suitable conditions, and b maybe changes sign in ℝN. The study is based on the extraction of the Palais-Smale sequences in the Nehari manifold.
SN - 1085-3375
UR - https://doi.org/10.1155/2011/864296
DO - 10.1155/2011/864296
JF - Abstract and Applied Analysis
PB - Hindawi Publishing Corporation
KW -
ER -