By providing optimal or nearly optimal integral estimates, we show that every positive, bounded or moderately growing, local weak solution to the critical p-Laplace equation in ℝⁿ, with n ≥ 3, and whose infimum over a ball decays properly must be a bubble.
Classification results for bounded positive solutions to the critical p-Laplace equation / G. Ciraolo, M.G.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 272:(2026 Nov), pp. 114190.1-114190.14. [10.1016/j.na.2026.114190]
Classification results for bounded positive solutions to the critical p-Laplace equation
G. Ciraolo
Primo
;M. GattiUltimo
2026
Abstract
By providing optimal or nearly optimal integral estimates, we show that every positive, bounded or moderately growing, local weak solution to the critical p-Laplace equation in ℝⁿ, with n ≥ 3, and whose infimum over a ball decays properly must be a bubble.
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