The Dirichlet problem for elliptic equations in the plane

Paola Cavaliere; Maria Transirico

Displaying similar documents to “The Dirichlet problem for elliptic equations in the plane”

Elliptic equations in weighted Sobolev spaces on unbounded domains.

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

International Journal of Mathematics and Mathematical Sciences

Similarity:

Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis

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 $H_{0}^{1, p} (Ω)$ 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.