Data di Pubblicazione:
2009
Citazione:
Uniqueness of solutions to degenerate elliptic problems with unbounded coefficients / F. Punzo, A. Tesei. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 26:5(2009), pp. 2001-2024. [10.1016/j.anihpc.2009.04.005]
Abstract:
We study well-posedness of the Dirichlet problem for linear degenerate elliptic equations under mild assumptions on the coefficients (in particular, they can be unbounded). We provide sufficient conditions both for uniqueness and nonuniqueness of solutions, which rely on the construction of suitable sub- and supersolutions to certain auxiliary problems.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Comparison methods; Degenerate second-order elliptic equations; Regular/singular boundary; Unbounded coefficients; Well-posedness
Elenco autori:
F. Punzo, A. Tesei
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