Elliptic equations in weighted Sobolev spaces on unbounded domains.

Boccia, Serena; Monsurrò, Sara; Transirico, Maria

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Solvability of the Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains.

Boccia, Serena, Monsurrò, Sara, Transirico, Maria (2008)

Boundary Value Problems [electronic only]

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Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis

Maria Alessandra Ragusa (1999)

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In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class $H_{0}^{1, p} (Ω)$ for all $1 < p < \infty$ and, as a consequence, the Hölder regularity of the solution $u$ . $ℒ$ is an elliptic second order operator with discontinuous coefficients $(V M O)$ and the lower order terms belong to suitable Lebesgue spaces.

Some remarks on spaces of Morrey type.

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Extension theory for Sobolev spaces on open sets with Lipschitz boundaries

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Degenerate differential operators with parameters.

Shakhmurov, Veli B. (2007)

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