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 RN involving critical nonlinearities. Moreover, on radial domains we characterise the compactness of possibly sign-changing Palais-Smale sequences.
A Liouville theorem for the p-Laplacian and related questions / Farina, Alberto; Mercuri, Carlo; Willem, Michel. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 58:4(2019), pp. 1-13. [10.1007/s00526-019-1596-y]
A Liouville theorem for the p-Laplacian and related questions
Carlo Mercuri;
2019
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 RN involving critical nonlinearities. Moreover, on radial domains we characterise the compactness of possibly sign-changing Palais-Smale sequences.
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