TY  - JOUR
ID  - Charkaoui2021
LB  - Charkaoui2021
AU  - Charkaoui, Abderrahim
AU  - Fahim, Houda
AU  - Alaa, Nour Eddine
TI  - Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent
ST  - Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2021
VL  - 41
IS  - 1
SP  - 25
EP  - 53
DO  - https://doi.org/10.7494/OpMath.2021.41.1.25
UR  - https://doi.org/10.7494/OpMath.2021.41.1.25
AB  - We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent. Using Schaeffer's fixed point theorem combined with the sub- and supersolution method, we prove the existence results of a weak solutions to the considered problems.
KW  - variable exponent
KW  - quasilinear equation
KW  - Schaeffer's fixed point
KW  - subsolution
KW  - supersolution
KW  - weak solution
SN  - 1232-9274
ER  -