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arXiv · 1608.03266

Multiplicity results for critical $p$-Laplacian problems

Giuseppina Barletta·Pasquale Candito·Salvatore A. Marano·Kanishka Perera
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Abstract

We prove the existence of $N$ distinct pairs of nontrivial solutions for critical $p$-Laplacian problems in ${\mathbb R}^N$, as well as in bounded domains. To overcome the difficulties arising from the lack of compactness, we use a recent global compactness result of Mercuri and Willem.

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Giuseppina Barletta, Pasquale Candito, Salvatore A. Marano, Kanishka Perera. 2016-08-10. Multiplicity results for critical $p$-Laplacian problems. https://arxiv.org/abs/1608.03266

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