Liouville theorems for semilinear equations on the Heisenberg group
I. Birindelli, I. Capuzzo Dolcetta, A. Cutrì (1997)
Annales de l'I.H.P. Analyse non linéaire
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I. Birindelli, I. Capuzzo Dolcetta, A. Cutrì (1997)
Annales de l'I.H.P. Analyse non linéaire
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Rendiconti del Seminario Matematico della Università di Padova
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Annales de l'I.H.P. Analyse non linéaire
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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We derive an asymptotic formula of a new type for variational solutions of the Dirichlet problem for elliptic equations of arbitrary order. The only a priori assumption on the coefficients of the principal part of the equation is the smallness of the local oscillation near the point.