TY - JOUR
A2 - Secchi, Simone
AU - Wu, Qiongli
AU - Gan, Liangcai
AU - Fan, Qingfeng
PY - 2016
DA - 2016/05/12
TI - Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices
SP - 3495170
VL - 2016
AB - We establish the nonexistence of solution for the following nonlinear elliptic problem with weights: -Δu=(1+|x|α)|u|p-1u in RN, where α is a positive parameter. Suppose that 1<p<N+2/N-2, α>(N-2)(p+1)/2-N for N≥3 or p>1, α>-2 for N=2; we will show that this equation does not possess nontrivial bounded solution with finite Morse index.
SN - 2314-8896
UR - https://doi.org/10.1155/2016/3495170
DO - 10.1155/2016/3495170
JF - Journal of Function Spaces
PB - Hindawi Publishing Corporation
KW -
ER -