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arXiv · 2410.14861

A Struwe-type Decomposition Result for Weighted Critical $p$-Laplace Equations

Edward Chernysh
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Abstract

We establish Struwe-type decompositions of Palais-Smale sequences for a class of critical $p$-Laplace equations of the Caffarelli-Kohn-Nirenberg type in a bounded domain $\Omega\subset\mathbb{R}^n$, $n\ge2$, containing the origin. In doing so, we highlight important differences introduced by the weights and require new rescaling laws to account for this new framework.

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Edward Chernysh. 2024-10-18. A Struwe-type Decomposition Result for Weighted Critical $p$-Laplace Equations. https://arxiv.org/abs/2410.14861

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