Existence of non-negative solutions for nonlinear equations in the semi-positone case
Using the fibring method we prove the existence of non-negative solution of the p-Laplacian boundary value problem $-Delta_pu=lambda f(u)$, for any $lambda >0$ on any regular bounded domain of $mathbb{R}^N$, in the special case $f(t)=t^q-1$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2006-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/14/y2/abstr.html |
| _version_ | 1818529046136356864 |
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| author | Naji Yebari Abderrahim Zertiti |
| author_facet | Naji Yebari Abderrahim Zertiti |
| author_sort | Naji Yebari |
| collection | DOAJ |
| description | Using the fibring method we prove the existence of non-negative solution of the p-Laplacian boundary value problem $-Delta_pu=lambda f(u)$, for any $lambda >0$ on any regular bounded domain of $mathbb{R}^N$, in the special case $f(t)=t^q-1$. |
| first_indexed | 2024-12-11T06:58:00Z |
| format | Article |
| id | doaj.art-5462c1091fc04a89937a7286b7fd65fc |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T06:58:00Z |
| publishDate | 2006-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-5462c1091fc04a89937a7286b7fd65fc2022-12-22T01:16:41ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-09-01Conference14249254Existence of non-negative solutions for nonlinear equations in the semi-positone caseNaji YebariAbderrahim ZertitiUsing the fibring method we prove the existence of non-negative solution of the p-Laplacian boundary value problem $-Delta_pu=lambda f(u)$, for any $lambda >0$ on any regular bounded domain of $mathbb{R}^N$, in the special case $f(t)=t^q-1$.http://ejde.math.txstate.edu/conf-proc/14/y2/abstr.htmlSuperlinear semi-positone problemsvariational methodsfibring method. |
| spellingShingle | Naji Yebari Abderrahim Zertiti Existence of non-negative solutions for nonlinear equations in the semi-positone case Electronic Journal of Differential Equations Superlinear semi-positone problems variational methods fibring method. |
| title | Existence of non-negative solutions for nonlinear equations in the semi-positone case |
| title_full | Existence of non-negative solutions for nonlinear equations in the semi-positone case |
| title_fullStr | Existence of non-negative solutions for nonlinear equations in the semi-positone case |
| title_full_unstemmed | Existence of non-negative solutions for nonlinear equations in the semi-positone case |
| title_short | Existence of non-negative solutions for nonlinear equations in the semi-positone case |
| title_sort | existence of non negative solutions for nonlinear equations in the semi positone case |
| topic | Superlinear semi-positone problems variational methods fibring method. |
| url | http://ejde.math.txstate.edu/conf-proc/14/y2/abstr.html |
| work_keys_str_mv | AT najiyebari existenceofnonnegativesolutionsfornonlinearequationsinthesemipositonecase AT abderrahimzertiti existenceofnonnegativesolutionsfornonlinearequationsinthesemipositonecase |