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.AP2026
Nonlinear evolution equations with a non-Lipschitz perturbation: convergence of successive approximations and uniqueness of solutions
G. Diaz, J. I. Dıaz
This paper investigates the existence and uniqueness of solutions for a nonlinear evolution equation governed by an m-accretive operator A in a Banach space, presenting a perturbat…