Abstract
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.
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Communicated by A. Malchiodi.
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Farina, A., Mercuri, C. & Willem, M. A Liouville theorem for the p-Laplacian and related questions. Calc. Var. 58, 153 (2019). https://doi.org/10.1007/s00526-019-1596-y
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DOI: https://doi.org/10.1007/s00526-019-1596-y