2 papers
math.AP2025
Solutions for autonomous semilinear elliptic equations
Alexis Molino, Salvador Villegas
We study existence of nontrivial solutions to problem \begin{equation*} \left\lbrace \begin{array}{rcll} -Îu &=& λu+f(u)&\text{ in }Ω,\\ u&=&0&\text{ on }\partial Ω, \end{array…
math.AP2024
Gelfand-Type problems in Random Walk Spaces
J. M. Mazon, A. Molino, J. Toledo
This paper deals with Gelfand-type problems \begin{equation}\label{Gelfand10} \qquad\qquad\left\{\begin{array}{ll} - Î_m u = λf(u), \quad&\hbox{in} \ Ω, \ λ>0, \\[10pt] u =0, \…