Doubly nonlinear parabolic equations with singular lower order term Original Research Article

In this paper we are concerned with positive solutions of the doubly nonlinear parabolic equation ut=div(um−1|∇u|p−2∇u)+Vum+p−2 in a cylinder Ω×(0,T), with initial condition u(·,0)=u0(·)⩾0 and vanishing on the parabolic boundary ∂Ω×(0,T). Here View the MathML source (resp. View the MathML source) is a bounded domain with smooth boundary, View the MathML source, View the MathML source, 10. The critical exponents q∗ are found and the nonexistence results are proved for q∗⩽m+p<3.