Non Newton Filtration Equation With A Nonlinear Boundary Condition

In this work we analyze the existence of weak solutions that globally boundor blow-up in finite time for a Non Newton Filtration equationin a smooth domainΩwith nonlinear boundary conditionwhere p≥2,m>1．Then,blow-up in finite time occurs if q+10,or q+1=mp／(p-1),mp-2p+2>0,andλmp／(p-1),q>m or q+1=mp／(p-1),q>m andλ>m．...