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A Liouville theorem for the $p$-Laplacian and related questions. (arXiv:1711.11552v1 [math.AP])

来源于:arXiv
We prove several classification results for $p$-Laplacian problems on bounded and unbounded domains, and deal with qualitative properties of sign-changing solutions to $p$-Laplacian equations on $\mathbb R^N$ involving critical nonlinearities. Moreover, on radial domains we characterise the compactness of possibly sign-changing Palais-Smale sequences. 查看全文>>