
Entropy solutions for strong nonlinear elliptic problem in Musielak-Orlicz-Sobolev spaces
Other Title(s)
الحلول الكونية لمشكلة القطع الناقص الغير خطية القوية في فضاءات ميزلاك-أورلكس-سبوليف
Joint Authors
al-Humi, Muhammad Ali Muhsin
al-Hamzah, Bassam Abd al-Qadir Atiq
Source
المجلة العلمية لجامعة إقليم سبأ : مجلة علمية نصفية محكمة
Publisher
Publication Date
2022-05-31
Country of Publication
Yemen
No. of Pages
18
Main Subjects
English Abstract
In this paper, we shall be concerned with the existence result of the following problem, $$\begin{aligned} \left\{ \begin{array}{l} -\text {div}\left( a(x,u,\nabla u)\right) -\text {div}(\Phi (x,u))= f \ \ \mathrm{in}\ \Omega ,\\ u=0 \text { on } \partial \Omega , \end{array} \right.
\end{aligned}$$ (0.1)with the second term f belongs to \(L^1(\Omega )\).
The growth and the coercivity conditions on the monotone vector field a are prescribed by a generalized N-function M.
We assume any restriction on M, therefore we work with Musielak–Orlicz spaces which are not necessarily reflexive.
The lower order term \(\Phi \) is a Carathéodory function satisfying only a growth condition.
Data Type
Conference Papers
Record ID
BIM-1421815
American Psychological Association (APA)
al-Humi, Muhammad Ali Muhsin& al-Hamzah, Bassam Abd al-Qadir Atiq. 2022-05-31. Entropy solutions for strong nonlinear elliptic problem in Musielak-Orlicz-Sobolev spaces. المؤتمر العلمي : العلم مستقبل وطن (1 : 2022 : جامعة إقليم سبأ-مأرب). . Vol. 3, no. 2 (Special issue) (May. 2022), pp.23-40.Marib Yemen : University of Saba Region University Vice Rectorates for Postgraduate Studies and Scientific Research.
https://search.emarefa.net/detail/BIM-1421815
Modern Language Association (MLA)
al-Humi, Muhammad Ali Muhsin& al-Hamzah, Bassam Abd al-Qadir Atiq. Entropy solutions for strong nonlinear elliptic problem in Musielak-Orlicz-Sobolev spaces. . Marib Yemen : University of Saba Region University Vice Rectorates for Postgraduate Studies and Scientific Research. 2022-05-31.
https://search.emarefa.net/detail/BIM-1421815
American Medical Association (AMA)
al-Humi, Muhammad Ali Muhsin& al-Hamzah, Bassam Abd al-Qadir Atiq. Entropy solutions for strong nonlinear elliptic problem in Musielak-Orlicz-Sobolev spaces. . المؤتمر العلمي : العلم مستقبل وطن (1 : 2022 : جامعة إقليم سبأ-مأرب).
https://search.emarefa.net/detail/BIM-1421815