Existence of Solutions for Unbounded Elliptic Equations with Critical Natural Growth
We investigate existence and regularity of solutions to unbounded elliptic problem whose simplest model is {-div[(1+uq)∇u]+u=γ∇u2/1+u1-q+f in Ω, u=0 on ∂Ω,}, where 0<q<1, γ>0 and f belongs to some appropriate Lebesgue space. We give assumptions on f with respect to q and γ to show the...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2018/7434250 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850213641118285824 |
|---|---|
| author | Aziz Bouhlal Abderrahmane El Hachimi Jaouad Igbida El Mostafa Sadek Hamad Talibi Alaoui |
| author_facet | Aziz Bouhlal Abderrahmane El Hachimi Jaouad Igbida El Mostafa Sadek Hamad Talibi Alaoui |
| author_sort | Aziz Bouhlal |
| collection | DOAJ |
| description | We investigate existence and regularity of solutions to unbounded elliptic problem whose simplest model is {-div[(1+uq)∇u]+u=γ∇u2/1+u1-q+f in Ω, u=0 on ∂Ω,}, where 0<q<1, γ>0 and f belongs to some appropriate Lebesgue space. We give assumptions on f with respect to q and γ to show the existence and regularity results for the solutions of previous equation. |
| format | Article |
| id | doaj-art-820d1d29ab2f42fcb629af1aa5fdeb9f |
| institution | OA Journals |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-820d1d29ab2f42fcb629af1aa5fdeb9f2025-08-20T02:09:05ZengWileyInternational Journal of Differential Equations1687-96431687-96512018-01-01201810.1155/2018/74342507434250Existence of Solutions for Unbounded Elliptic Equations with Critical Natural GrowthAziz Bouhlal0Abderrahmane El Hachimi1Jaouad Igbida2El Mostafa Sadek3Hamad Talibi Alaoui4Labo Math Appli, Faculty of Sciences, B. P. 20, El Jadida, MoroccoLaboratory of Mathematical Analysis and Applications, Mohammed V University, Faculty of Sciences, Rabat, MoroccoLabo DGTIC, department of Mathematics, CRMEF El Jadida, MoroccoLaboratory LabSIPE, ENSA, d'EL Jadida, University Chouaib Doukkali, MoroccoLabo Math Appli, Faculty of Sciences, B. P. 20, El Jadida, MoroccoWe investigate existence and regularity of solutions to unbounded elliptic problem whose simplest model is {-div[(1+uq)∇u]+u=γ∇u2/1+u1-q+f in Ω, u=0 on ∂Ω,}, where 0<q<1, γ>0 and f belongs to some appropriate Lebesgue space. We give assumptions on f with respect to q and γ to show the existence and regularity results for the solutions of previous equation.http://dx.doi.org/10.1155/2018/7434250 |
| spellingShingle | Aziz Bouhlal Abderrahmane El Hachimi Jaouad Igbida El Mostafa Sadek Hamad Talibi Alaoui Existence of Solutions for Unbounded Elliptic Equations with Critical Natural Growth International Journal of Differential Equations |
| title | Existence of Solutions for Unbounded Elliptic Equations with Critical Natural Growth |
| title_full | Existence of Solutions for Unbounded Elliptic Equations with Critical Natural Growth |
| title_fullStr | Existence of Solutions for Unbounded Elliptic Equations with Critical Natural Growth |
| title_full_unstemmed | Existence of Solutions for Unbounded Elliptic Equations with Critical Natural Growth |
| title_short | Existence of Solutions for Unbounded Elliptic Equations with Critical Natural Growth |
| title_sort | existence of solutions for unbounded elliptic equations with critical natural growth |
| url | http://dx.doi.org/10.1155/2018/7434250 |
| work_keys_str_mv | AT azizbouhlal existenceofsolutionsforunboundedellipticequationswithcriticalnaturalgrowth AT abderrahmaneelhachimi existenceofsolutionsforunboundedellipticequationswithcriticalnaturalgrowth AT jaouadigbida existenceofsolutionsforunboundedellipticequationswithcriticalnaturalgrowth AT elmostafasadek existenceofsolutionsforunboundedellipticequationswithcriticalnaturalgrowth AT hamadtalibialaoui existenceofsolutionsforunboundedellipticequationswithcriticalnaturalgrowth |