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arXiv · 2111.11611

On a class of critical $N$-Laplacian problems

Tsz Chung Ho·Kanishka Perera
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Abstract

We establish some existence results for a class of critical $N$-Laplacian problems in a bounded domain in ${\mathbb R}^N$. In the absence of a suitable direct sum decomposition, we use an abstract linking theorem based on the ${\mathbb Z}_2$-cohomological index to obtain a nontrivial critical point.

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Tsz Chung Ho, Kanishka Perera. 2021-11-23. On a class of critical $N$-Laplacian problems. https://arxiv.org/abs/2111.11611

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