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Positive Solutions for Some Weighted Elliptic Problems

, 2020
In this study, we study the existence and the nonexistence of positive solutions for the following nonlinear elliptic problems:  (P)where, Ω is a regular bounded domain in ℝ , N ≥ 2, a(x) is a smooth function on   and f(x, s) is asymptotically linear in ...
H. Zahed
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A paradox in Hele-Shaw displacements

Annali dell?Università di Ferrara, 2018
We study the Hele-Shaw immiscible displacements when all surfaces tensions on the interfaces are zero. The Saffman-Taylor instability occurs when a less viscous fluid is displacing a more viscous one, in a rectangular Hele-Shaw cell.
Gelu Pacsa
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On the symmetry of minimizers

, 2007
For a large class of variational problems we prove that minimizers are symmetric whenever they are C. AMS subject classifications. 35A15, 35B05, 35B65, 35H30, 35J20, 35J45, 35J50, 35J60.
Mihai Marics
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A Class of Periodic Solutions of One-Dimensional Landau-Lifshitz Equations

, 2017
We study one-dimensional Landau-Lifshitz Equations and give the sufficient and necessary conditions for the existence of a class of periodic solutions.
Xi Chen, R. Jiang, Youde Wang
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Multiplicity of solutions of quasilinear subelliptic equations on Heisenberg group

, 2017
In this paper, a class of quasilinear elliptic equations on the Heisenberg Group is concerned. Under some suitable assumptions, by virtue of the nonsmooth critical point theory, the existence of infinitely many weak solutions of the problems is obtained.
Fang-lan Li, Gao Jia
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