Volume 2015 Issue SI11 | Abstract and Applied Analysis

Abstract and Applied Analysis

Qualitative Analysis of Differential, Difference Equations, and Dynamic Equations on Time Scales

VOL. 2015 · NO. SI11 | 2015

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Articles

Qualitative Analysis of Differential, Difference Equations, and Dynamic Equations on Time Scales

Tongxing Li, Josef Diblík, Alexander Domoshnitsky, Yuriy V. Rogovchenko, Felix Sadyrbaev, Qi-Ru Wang

Abstr. Appl. Anal. 2015 (SI11), 1-3, (2015) DOI: 10.1155/2015/643706 Open Access

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{W}^{2,p}

-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data

Loredana Caso, Roberta D’Ambrosio, Maria Transirico

Abstr. Appl. Anal. 2015 (SI11), 1-7, (2015) DOI: 10.1155/2015/635035 Open Access

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We give an overview on some results concerning the unique solvability of the Dirichlet problem in ${W}^{2,p}$ , $p>1$ , for second-order linear elliptic partial differential equations in nondivergence form and with singular data in weighted Sobolev spaces. We also extend such results to the planar case.

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