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Multiple solutions for noncooperative \(p(x)\)-Laplacian equations in \(\mathbb R^N\) involving the critical exponent - MaRDI portal

Multiple solutions for noncooperative \(p(x)\)-Laplacian equations in \(\mathbb R^N\) involving the critical exponent (Q2442970)

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Multiple solutions for noncooperative \(p(x)\)-Laplacian equations in \(\mathbb R^N\) involving the critical exponent
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    Multiple solutions for noncooperative \(p(x)\)-Laplacian equations in \(\mathbb R^N\) involving the critical exponent (English)
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    2 April 2014
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    In this paper, the authors consider a noncooperative \(p(x)\)-Laplacian systems in \(\mathbb R^N\) involving the critical exponent. By using limit index theory and concentration-compactness principle, they prove the existence of a sequence of radially symmetric solutions.
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    \(p(x)\)-Laplacian
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    generalized Lebesgue-Sobolev space
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    limit index
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    critical growth
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    concentration-compactness principle
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