28 citations · 154 across the 56 of their papers we have counts for
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A critical non-homogeneous heat equation with weighted source
Razvan Gabriel Iagar, Ariel Sánchez
Some qualitative properties of radially symmetric solutions to the non-homogeneous heat equation with critical density and weighted source $$ |x|^{-2}\partial_tu=Δu+|x|^σu^p, \quad…
Qualitative properties of solutions to a generalized Fisher-KPP equation
Razvan Gabriel Iagar, Ariel Sánchez
The following Fisher-KPP type equation with and , , positive coefficients, is considered. For bo…
A Hardy-H{é}non equation in with sublinear absorption
Razvan Gabriel Iagar, Philippe Laurençot
Consider , and $\max\{-2,-N\}\<σ\<0$. The Hardy-Hénon equation with sublinear absorption\begin(equation*}- Δv(x) - |x|^σv(x) + \frac{1}{m-1} v^{1/m}(x)= 0, \qquad…
Eternal solutions to a porous medium equation with strong nonhomogeneous absorption. Part II: Dead-core profiles
Razvan Gabriel Iagar, Philippe Laurençot, Ariel Sánchez
Existence of a specific family of \emph{eternal solutions} in exponential self-similar form is proved for the following porous medium equation with strong absorption $$\partial_t u…
Second order asymptotics and uniqueness for self-similar profiles to a singular diffusion equation with gradient absorption
Razvan Gabriel Iagar, Philippe Laurençot
Solutions in self-similar form presenting finite time extinction to the singular diffusion equation with gradient absorption $$\partial_t u - \mathrm{div}(|\nabla u|^{p-2}\nabla u)…
A porous medium equation with spatially inhomogeneous absorption. Part I: Self-similar solutions
Razvan Gabriel Iagar, Diana Rodica Munteanu
This is the first of a two-parts work on the qualitative properties and large time behavior for the following quasilinear equation involving a spatially inhomogeneous absorption $$…
Existence and multiplicity of blow-up profiles for a quasilinear diffusion equation with source
Razvan Gabriel Iagar, Ariel Sánchez
We classify radially symmetric self-similar profiles presenting finite time blow-up to the quasilinear diffusion equation with weighted source posed for $(…
Existence of blow-up self-similar solutions for the supercritical quasilinear reaction-diffusion equation
Razvan Gabriel Iagar, Ariel Sánchez
We establish the existence of self-similar solutions presenting finite time blow-up to the quasilinear reaction-diffusion equation posed in dimension …