| Abstract: |
| We consider the existence of weak solutions for semilinear elliptic coupled system with quasimonotone non decreasing nonlinearity on the boundary. We establish the existence of a maximal and a minimal weak solution between an ordered pair of sub- and supersolution. To prove the result, we utilize the surjectivity of a pseudomonotone and coercive operator, Zorn`s lemma and a version of Kato`s inequality. |
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