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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…
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…
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.…
Nodal and constant sign solutions for singular elliptic problems
Dumitru Motreanu, Abdelkrim Moussaoui
We establish the existence of multiple solutions for singular quasilinear elliptic problems with a precise sign information: two opposite constant sign solutions and a nodal soluti…
Existence and uniqueness results to a quasilinear singular Lane-Emden Neumann system
Nouredine Medjoudj, Abdelkrim Moussaoui
We establish the existence and uniqueness of solutions for quasilinear singular Lane-Emden type systems subjected to Neumann boundary conditions. The approach is chiefly based on s…
Nodal solutions with synchronous sign changing components and Constant sign solutions for singular Gierer-Meinhardt type system
Abdelkrim Moussaoui
We establish the existence of three solutions for singular semilinear elliptic system, two of which are of opposite constant-sign. Under a strong singularity effect, the third solu…