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We establish the existence of three solutions for singular semilinearelliptic system, two of which are of opposite constant-sign. Under a strongsingularity effect, the third solution is nodal with synchronous signcomponents. The approach combines sub-supersolutions method and Leray-Schaudertopological degree involving perturbation argument.

Nodal solutions with synchronous sign changing components and Constant sign solutions for singular Gierer-Meinhardt type system