A Liouville theorem for the \(p\)-Laplacian and related questions
(2019) Calculus of Variations and Partial Differential Equations — Vol. 58, n° 153, p. 153-166 (2019)
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- 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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Citations
Farina, A., Mercuri, C., & Willem, M. (2019). A Liouville theorem for the \(p\)-Laplacian and related questions. Calculus of Variations and Partial Differential Equations, 58(153), 153-166. https://doi.org/10.1007/s00526-019-1596-y (Original work published 2019)