On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients
We establish, in dimension two, a regularity result for nonnegative solutions to an adjoint elliptic equation, generalizing a previous result of Escauriaza (1994). We consider elliptic equations with coefficients 𝑎𝑖𝑗(𝑥1,𝑥2) which are measurable with respect to one variable and VMO with respect to th...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/208741 |
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| _version_ | 1832553621932212224 |
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| author | Teresa Alberico |
| author_facet | Teresa Alberico |
| author_sort | Teresa Alberico |
| collection | DOAJ |
| description | We establish, in dimension two, a regularity result for nonnegative solutions to an adjoint elliptic equation, generalizing a previous result of Escauriaza (1994). We consider elliptic equations with coefficients 𝑎𝑖𝑗(𝑥1,𝑥2) which are measurable with respect to one variable and VMO with respect to the other. |
| format | Article |
| id | doaj-art-9e987acc063a420ca4025af82d1a74ed |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-9e987acc063a420ca4025af82d1a74ed2025-02-03T05:53:37ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/208741208741On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO CoefficientsTeresa Alberico0Department of Mathematics and Applications “R. Caccioppoli”, University of Naples “Federico II”, Via Cintia, 80126 Napoli, ItalyWe establish, in dimension two, a regularity result for nonnegative solutions to an adjoint elliptic equation, generalizing a previous result of Escauriaza (1994). We consider elliptic equations with coefficients 𝑎𝑖𝑗(𝑥1,𝑥2) which are measurable with respect to one variable and VMO with respect to the other.http://dx.doi.org/10.1155/2012/208741 |
| spellingShingle | Teresa Alberico On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients Journal of Function Spaces and Applications |
| title | On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients |
| title_full | On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients |
| title_fullStr | On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients |
| title_full_unstemmed | On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients |
| title_short | On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients |
| title_sort | on the regularity of solutions to an adjoint elliptic equation with partially vmo coefficients |
| url | http://dx.doi.org/10.1155/2012/208741 |
| work_keys_str_mv | AT teresaalberico ontheregularityofsolutionstoanadjointellipticequationwithpartiallyvmocoefficients |