In this paper we prove a Lions type result for large class of Orlicz-Sobolev space that can be nonreflexive and use to show the existence solution quasilinear problem on space.

In this note, we prove a blow-up result for semilinear generalized Tricomi equation with nonlinear term of derivative type, i.e., the $\mathscr{T}_{\!\!\ell} u = |\partial_t u|^p$, where $ \mathscr{T}_{\!\!\ell} \partial_t^2-t^{2\ell}\Delta$. Smooth solutions blow up in finite time positive Cauchy data when exponent $p$ is below $\frac{\mathscr{Q}}{\mathscr{Q}-2}$, $\mathscr{Q}=(\ell+1)n+1$ qua...