3 papers
math.AP2025
Three solutions with precise sign properties for Gierer-Meinhardt type system
Abdelkrim Moussaoui
We establish the existence of three solutions for sign-coupled Gierer-Meinhardt type system with Neumann boundary conditions. Two solutions are of opposite constant-sign while the…
math.AP2025
Constant sign and nodal solutions for singular quasilinear elliptic systems
Nouredine Medjoudj, Abdelkrim Moussaoui
We consider singular quasilinear elliptic systems with homogeneous Dirichlet boundary condition. Using Leray-Schauder topological degree, combined with the sub-supersolutions metho…
math.AP2025
Sub-supersolutions method for singular quasilinear systems involving gradient terms
Abdelkrim Moussaoui
Existence, regularity and location of solutions to quasilinear singular elliptic systems with general gradient dependence are established developing a method of sub-supersolution.…