Academic Journal
Singularly perturbed elliptic problems with nonautonomous asymptotically linear nonlinearities
| العنوان: | Singularly perturbed elliptic problems with nonautonomous asymptotically linear nonlinearities |
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| المؤلفون: | L. A. Maia, MONTEFUSCO, Eugenio, B. Pellacci |
| المساهمون: | L. A., Maia, Montefusco, Eugenio, B., Pellacci |
| سنة النشر: | 2015 |
| المجموعة: | Sapienza Università di Roma: CINECA IRIS |
| مصطلحات موضوعية: | Schrodinger equation, saturable media, concentration phenomena, singularly perturbed elliptic equation, asymptotically linear nonlinearitie, penalization methods |
| الوصف: | We consider a class of singularly perturbed elliptic problems with nonautonomous asymptotically linear nonlinearities. The dependence on the spatial coordinates comes from the presence of a potential and of a function representing a saturation effect. We investigate the existence of nontrivial nonnegative solutions concentrating around local minima of both the potential and of the saturation function. Necessary conditions to locate the possible concentration points are also given. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | STAMPA |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000349363700014; volume:116; firstpage:193; lastpage:209; numberofpages:17; journal:NONLINEAR ANALYSIS; http://hdl.handle.net/11573/781835; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84921981599 |
| DOI: | 10.1016/j.na.2014.09.030 |
| الاتاحة: | http://hdl.handle.net/11573/781835 https://doi.org/10.1016/j.na.2014.09.030 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.5F97CEE7 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.na.2014.09.030 |
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