Academic Journal
The Dirichlet problem for the 1-Laplacian with a general singular term and L^1-data
| العنوان: | The Dirichlet problem for the 1-Laplacian with a general singular term and L^1-data |
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| المؤلفون: | Latorre, Marta, Oliva, Francescantonio, Petitta, Francesco, Segura de León, Sergio |
| سنة النشر: | 2021 |
| المجموعة: | Universidad Rey Juan Carlos, Madrid: Archivo Abierto Institucional |
| مصطلحات موضوعية: | 1-Laplacian, nonlinear elliptic equations, singular elliptic equations |
| الوصف: | We study the Dirichlet problem for an elliptic equation involving the 1-Laplace operator and a reaction term, -\Delta_1 u =h(u)f(x), where f is nonnegative and h is a continuous real function that may possibly blow up at zero. We investigate optimal ranges for the data in order to obtain existence, nonexistence and (whenever expected) uniqueness of nonnegative solutions. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | ] M. Latorre, F. Oliva, F. Petitta, S. Segura de León, The Dirichlet problem for the 1-Laplacian with a general singular term and L1-data, Nonlinearity 34 (3) (2021) 1791–1816.; https://hdl.handle.net/10115/31914 |
| DOI: | 10.1088/1361-6544/abc65b |
| الاتاحة: | https://hdl.handle.net/10115/31914 https://doi.org/10.1088/1361-6544/abc65b |
| Rights: | Attribution-NonCommercial-NoDerivatives 4.0 Internacional ; http://creativecommons.org/licenses/by-nc-nd/4.0/ ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.A9AE9034 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1088/1361-6544/abc65b |
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