کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8898551 | 1631490 | 2018 | 37 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Polyharmonic k-Hessian equations in RN
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Polyharmonic k-Hessian equations in RN Polyharmonic k-Hessian equations in RN](/preview/png/8898551.png)
چکیده انگلیسی
This work is focused on the study of the nonlinear elliptic higher order equation(âÎ)mu=Sk[âu]+λf,xâRN, where the k-Hessian Sk[u] is the kth elementary symmetric polynomial of eigenvalues of the Hessian matrix of the solution and the datum f belongs to a suitable functional space. This problem is posed in RN and we prove the existence of at least one solution by means of topological fixed point methods for suitable values of mâN. Questions related to the regularity of the solutions and extensions of these results to the nonlocal setting are also addressed. On the way to construct these proofs, some technical results such as a fixed point theorem and a refinement of the critical Sobolev embedding, which could be of independent interest, are introduced.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 265, Issue 8, 15 October 2018, Pages 3363-3399
Journal: Journal of Differential Equations - Volume 265, Issue 8, 15 October 2018, Pages 3363-3399
نویسندگان
Pedro Balodis, Carlos Escudero,