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Multiple solutions for a generalized critical noncooperative Schr\”{o}dinger system in $\mathbb{R}^N$
  • Nabil Chems Eddine
Nabil Chems Eddine
Mohammed V University of Rabat Faculty of Sciences

Corresponding Author:[email protected]

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In this paper, we study the multiplicity of solutions for a class of noncooperative Schr\”{o}dinger-type system involving a general variable exponent elliptic operator with critical nonlinearity in $\mathbb{R}^N$. Under suitable assumptions, we obtain a sequence of solutions by using the Limit Index Theory due to Li \cite{Li1} and the version of concentration-compactness principle.