تقرير
Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces
| العنوان: | Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces |
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| المؤلفون: | Barletta, Giuseppina, Cianchi, Andrea, Marino, Greta |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs |
| الوصف: | Boundary value problems for second-order elliptic equations in divergence form, whose nonlinearity is governed by a convex function of non-necessarily power type, are considered. The global boundedness of their solutions is established under boundary conditions of Dirichlet, or Neumann, or Robin type. A decisive role in the results is played by optimal forms of Orlicz-Sobolev embeddings and boundary trace embeddings, which allow for critical growths of the coefficients. Comment: 34 pages, comments are welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2207.07323 |
| رقم الأكسشن: | edsarx.2207.07323 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |