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A note on mean field type equations

open access: yesDemonstratio Mathematica
In this article, we provide a note on rigidity results for mean field-type equations with multiple exponential terms, including sinh-Gordon and Tzitzeica equations, on closed two-dimensional manifolds with positive Ricci curvature bounds.
Deng Kaixin, Luo Senping
doaj   +1 more source
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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
semanticscholar   +1 more source

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
semanticscholar   +1 more source

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
semanticscholar   +1 more source

Nodal Solutions of a p‐Laplacian Equation

, 2005
T. Bartsch, Zhaoli Liu, T. Weth
semanticscholar   +1 more source

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