### 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]

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

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

Boundary Value Problems [electronic only]

Similarity:

Maria Alessandra Ragusa (1999)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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

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

Abstract and Applied Analysis

Similarity:

Burenkov, Viktor I.

Similarity:

Shakhmurov, Veli B. (2007)

Abstract and Applied Analysis

Similarity:

Paola Cavaliere, Maria Transirico (2005)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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 .

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

Abstract and Applied Analysis

Similarity: