Abstract
In this paper we show existence of positive solutions for a system with Neumann boundary condition defined in a half-space and the nonlinearity with critical growth. We prove the main results using variational method together with Brouwer theory of degree.
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The authors were partially supported by CNPq, Capes and Fapesp - Brazil.
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Figueiredo, G.M., Silva, L.S. Existence of positive solution for a critical system in \(\mathbb {R}^{N}_{+}\). Rend. Circ. Mat. Palermo, II. Ser 71, 975–996 (2022). https://doi.org/10.1007/s12215-022-00721-2
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DOI: https://doi.org/10.1007/s12215-022-00721-2