TY - JOUR
A2 - Ding, Shusen
AU - Li, Juan
AU - Tong, Yuxia
PY - 2014
DA - 2014/03/06
TI - Multiplicity of Solutions for an Elliptic Problem with Critical Sobolev-Hardy Exponents and Concave-Convex Nonlinearities
SP - 180105
VL - 2014
AB - We study the existence of multiple solutions for the following elliptic problem: -Δpu-μ|u|p-2u/|x|p=|u|p*(t)-2/|x|tu+λ|u|q-2/|x|su,u∈W01,p(Ω). We prove that if 1≤q<p<N, then there is a μ0, such that for any μ∈0,μ0, the above mentioned problem possesses infinitely many weak solutions. Our result generalizes a similar result (Azorero and Alonso, 1991).
SN - 2314-8896
UR - https://doi.org/10.1155/2014/180105
DO - 10.1155/2014/180105
JF - Journal of Function Spaces
PB - Hindawi Publishing Corporation
KW -
ER -