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Article Dans Une Revue Calculus of Variations and Partial Differential Equations Année : 2019

A Liouville theorem for the p-Laplacian and related questions

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Résumé

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.

Dates et versions

hal-03621408 , version 1 (28-03-2022)

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Alberto Farina, Carlo Mercuri, Michel Willem. A Liouville theorem for the p-Laplacian and related questions. Calculus of Variations and Partial Differential Equations, 2019, 58 (4), ⟨10.1007/s00526-019-1596-y⟩. ⟨hal-03621408⟩
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