Stationary solutions and connecting orbits for $p$-Laplace equation

Aleksander Cwiszewski, Mateusz Maciejewski

We deal with one dimensional $p$-Laplace equation of the form $$u_t=(|u_x{|}^{p-2}{u}_x{)}_x+f(x,u),x\in (0,l),t>0,$$ under Dirichlet boundary condition, where $p>2$ and $f…