Academic Journal
Large solutions of semilinear elliptic equations with a Hardy potential
| العنوان: | Large solutions of semilinear elliptic equations with a Hardy potential |
|---|---|
| المؤلفون: | Catherine Bandle |
| المصدر: | Rendiconti di Matematica e delle Sue Applicazioni, Vol 42, Iss 3-4, Pp 197-213 (2021) |
| بيانات النشر: | Sapienza Università Editrice, 2021. |
| سنة النشر: | 2021 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | boundary blow-up, singular coefficients, singular solutions, sub and super solutions, comparison principle, Mathematics, QA1-939 |
| الوصف: | Semilinear elliptic problems with solutions blowing up at the boundary are considered. The effect of a Hardy potential with a boundary singularity is discussed. Positive potentials reinforce the solution to blow up whereas negative prevent it. For the standard nonlinearities and sufficiently large potentials there exist solutions which are comparable to the blowing up solutions of the problem without Hardy potential. Near the boundary they depend only on the distance to the boundary, and the first order approximation is independent of the geometry. The precise estimates imply that those solutions are unique. The main tools used in this paper are the method of upper and lower solutions and boundary estimates for the blowup solutions without Hardy potential. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English French Italian |
| تدمد: | 1120-7183 2532-3350 |
| Relation: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2021(3-4)/197-213.pdf; https://doaj.org/toc/1120-7183; https://doaj.org/toc/2532-3350 |
| URL الوصول: | https://doaj.org/article/db2b8a4cb79f461387efdd369c7501ad |
| رقم الانضمام: | edsdoj.b2b8a4cb79f461387efdd369c7501ad |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 11207183 25323350 |
|---|