2 papers
math.AP2026
Compactly Supported Solutions near a Nehari Critical Value
J. I. Dıaz, J. Hernandez, Y. Ilyasov
We study non-negative solutions of the indefinite sublinear Dirichlet problem $$ \left \{\ \begin{array}{ll} -Δu=λu+m(x)|u|^{α-1}u&\quad\hbox{ in },\\ u=0&\quad \hbox{ on $\part…
math.AP2018
On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets
J. I. Díaz, J. Hernández, Y. Sh. Ilyasov
We prove the exact multiplicity of flat and compact support stable solutions of an autonomous non-Lipschitz semilinear elliptic equation of eigenvalue type according to the dimensi…