Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and 𝐿1 Data
An existence result of a renormalized solution for a class of nonlinear elliptic equations is established. The diffusion functions 𝑎(𝑥,𝑢,∇𝑢) may not be in (𝐿1loc(Ω))𝑁 for a finite value of the unknown and the data belong to 𝐿1(Ω).
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/219586 |
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| _version_ | 1832556234184589312 |
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| author | Hicham Redwane |
| author_facet | Hicham Redwane |
| author_sort | Hicham Redwane |
| collection | DOAJ |
| description | An existence result of a renormalized solution for a class of nonlinear elliptic equations is established. The diffusion functions 𝑎(𝑥,𝑢,∇𝑢) may not be in (𝐿1loc(Ω))𝑁 for a finite value of the unknown and the data belong to 𝐿1(Ω). |
| format | Article |
| id | doaj-art-f2dc8076c3ea4128a6b14f15857cd109 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f2dc8076c3ea4128a6b14f15857cd1092025-02-03T05:46:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/219586219586Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and 𝐿1 DataHicham Redwane0Faculté des Sciences Juridiques, Économiques et Sociales, Université Hassan 1, B.P. 784, Settat 26 000, MoroccoAn existence result of a renormalized solution for a class of nonlinear elliptic equations is established. The diffusion functions 𝑎(𝑥,𝑢,∇𝑢) may not be in (𝐿1loc(Ω))𝑁 for a finite value of the unknown and the data belong to 𝐿1(Ω).http://dx.doi.org/10.1155/2009/219586 |
| spellingShingle | Hicham Redwane Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and 𝐿1 Data International Journal of Mathematics and Mathematical Sciences |
| title | Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and 𝐿1 Data |
| title_full | Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and 𝐿1 Data |
| title_fullStr | Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and 𝐿1 Data |
| title_full_unstemmed | Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and 𝐿1 Data |
| title_short | Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and 𝐿1 Data |
| title_sort | existence of solution for nonlinear elliptic equations with unbounded coefficients and 𝐿1 data |
| url | http://dx.doi.org/10.1155/2009/219586 |
| work_keys_str_mv | AT hichamredwane existenceofsolutionfornonlinearellipticequationswithunboundedcoefficientsandl1data |