Eternal solutions in exponential self-similar form for a quasilinear reaction-diffusion equation with critical singular potential

Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez

We prove existence and uniqueness of self-similar solutions with exponential form $$u(x,t)=e^{\alpha t}f(|x|e^{-\beta t}),\alpha ,\beta >0$$ to the following quasilinear reaction-diffusion…