Elliptic equations in weighted Sobolev spaces on unbounded domains.

Boccia, Serena; Monsurrò, Sara; Transirico, Maria

Displaying similar documents to “Elliptic equations in weighted Sobolev spaces on unbounded domains.”

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)

Commentationes Mathematicae Universitatis Carolinae

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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.

Caso, Loredana, D&#039;Ambrosio, Roberta, Monsurrò, Sara (2010)

Abstract and Applied Analysis

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Extension theory for Sobolev spaces on open sets with Lipschitz boundaries

Burenkov, Viktor I.

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Degenerate differential operators with parameters.

Shakhmurov, Veli B. (2007)

Abstract and Applied Analysis

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The Dirichlet problem for elliptic equations in the plane

Paola Cavaliere, Maria Transirico (2005)

Commentationes Mathematicae Universitatis Carolinae

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In this paper an existence and uniqueness theorem for the Dirichlet problem in $W^{2, p}$ for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class .

Some embeddings into the Morrey and modified Morrey spaces associated with the Dunkl operator.

Guliyev, Emin V., Mammadov, Yagub Y. (2010)

Abstract and Applied Analysis

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