The Dirichlet problem in half-space for elliptic equations with unbounded coefficients
J. H. Chabrowski (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Dirichlet problem for a linear elliptic equation in unbounded domains with -boundary data”
The Dirichlet problem in half-space for elliptic equations with unbounded coefficients
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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.
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Giovanna Citti (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Nguyen Phuong Các (1976)
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We study the solvability of the Dirichlet problem for a linear elliptic operator of the second order in which the coefficients of the first order derivatives become infinite on a portion of the boundary. The study makes use of Schauder’s estimates and suitably constructed barriers.
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Anna Canale, Patrizia Di Gironimo, Antonio Vitolo (1998)
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We introduce a sort of "local" Morrey spaces and show an existence and uniqueness theorem for the Dirichlet problem in unbounded domains for linear second order elliptic partial differential equations with principal coefficients "close" to functions having derivatives in such spaces.