TY  - JOUR
ID  - Garain2020
LB  - Garain2020
AU  - Garain, Prashanta
TI  - Properties of solutions to some weighted p-Laplacian equation
ST  - Properties of solutions to some weighted p-Laplacian equation
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2020
VL  - 40
IS  - 4
SP  - 483
EP  - 494
DO  - https://doi.org/10.7494/OpMath.2020.40.4.483
UR  - https://doi.org/10.7494/OpMath.2020.40.4.483
AB  - In this paper, we prove some qualitative properties for the positive solutions to some degenerate elliptic equation given by \[-\text{div}\big(w|\nabla u|^{p-2}\nabla u\big)=f(x,u),\quad w\in \mathcal{A}_p,\] on smooth domain and for varying nonlinearity \(f\).
KW  - \(p\)-Laplacian
KW  - degenerate elliptic equations
KW  - weighted Sobolev space
SN  - 1232-9274
ER  -