In this paper we establish the blow up of solutions to the quasilinearwave equation with a nonlinear dissipative term utt-m(‖A1/2u‖22)Au+utβut=upux∈Ω,t>0
We study the structure of solutions to the interface problems for second order quasi-linear elliptic partial differential equations in two dimensional space. We
We study the traveling wave solutions of a nonlinear degenerate parabolic equation with non-divergence form. Under some conditions on the source, we establish t
We consider the problem of finding a compact starshaped hypersurfacein a space form for which the normalized m-th elementary symmetric function of prin-cipal cu
In this paper, we study a initial value problem of a degenerate parabolic equation coupled with time-delay regularization. The existence of BV solutions to the
Consider the Cauchy problem for a wave equation on R2:utt-△u =|u|P-1u.In 1981 Glassey gave a guess to a critical value p(2) =1/2(3+√17): when p>p(2) there may