Article contents
On a class of critical N-Laplacian problems
Published online by Cambridge University Press: 27 June 2022
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 of the underlying Sobolev space to which the classical linking theorem can be applied, we use an abstract linking theorem based on the $\mathbb {Z}_2$
-cohomological index to obtain a non-trivial critical point.
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- Research Article
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- Copyright © The Author(s), 2022. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society
References
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