Results 1 to 10 of about 1,215 (98)
Advances in Nonlinear AnalysisIn this article, we consider the influence of seasonal succession and impulsive harvesting on the dynamical behavior of solutions to a free boundary model. First, the generalized principal eigenvalue is defined and its properties are studied.
Li Yanglei, Han Xuemei, Sun Ningkui
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Advances in Nonlinear Analysis, 2019 We prove the exact multiplicity of flat and compact support stable solutions of an autonomous non-Lipschitz semilinear elliptic equation of eigenvalue type according to the dimension N and the two exponents, 0 < α < β < 1, of the involved nonlinearites ...
Díaz J.I., Hernández J., Ilyasov Y.Sh.
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New Trends in Free Boundary Problems
Advanced Nonlinear Studies, 2017 We present a series of recent results on some new classes of free boundary problems.Differently from the classical literature, the problems considered have either a “nonlocal” feature (e.g., the interaction or/and the interfacial energy may depend on ...
Dipierro Serena +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper we are going to investigate a free boundary value problem for the anisotropic N-Laplace operator on a ring domain Ω:=Ω0\Ω¯1⊂N\Omega : = {\Omega _0}\backslash {\bar \Omega _1} \subset {\mathbb{R}^N}, N ≥ 2.
Nicolescu A. E., Vlase S.
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Self-propagating High temperature Synthesis (SHS) in the high activation energy regime [PDF]
, 2005 We derive the precise limit of SHS in the high activation energy scaling suggested by B.J. Matkowksy-G.I. Sivashinsky in 1978 and by A. Bayliss-B.J. Matkowksy-A.P. Aldushin in 2002. In the time-increasing case the limit turns out to be the Stefan problem
Monneau, Regis, Weiss, G. S.
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Advances in Nonlinear AnalysisIn this article, we consider a free boundary problem modeling the growth of a double-layered tumor, which contains quiescent cells and proliferating cells.
Liu Yaxin, Song Huijuan, Wang Zejia
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LOCAL SET APPROXIMATION: MATTILA–VUORINEN TYPE SETS, REIFENBERG TYPE SETS, AND TANGENT SETS
Forum of Mathematics, Sigma, 2015 We investigate the interplay between the local and asymptotic geometry of a set $A\subseteq \mathbb{R}^{n}$ and the geometry of model sets ${\mathcal{S}}\subset {\mathcal{P}}(\mathbb{R}^{n})$, which approximate $A$ locally uniformly on small scales.
MATTHEW BADGER, STEPHEN LEWIS
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The existence of axially symmetric stationary fluids with gravity
Advances in Nonlinear AnalysisWe establish a theoretical framework for the existence of axially symmetric stationary fluids with gravity within nozzles of finite height. The main focus is on the free streamline theory in axially symmetric fluids under the influence of gravity, with ...
Zhang Fan
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Analysis of a mathematical model for the growth of cancer cells
, 2012 In this paper, a two-dimensional model for the growth of multi-layer tumors is presented. The model consists of a free boundary problem for the tumor cell membrane and the tumor is supposed to grow or shrink due to cell proliferation or cell dead.
Kohlmann, Martin
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A Bernoulli problem with non constant gradient boundary constraint [PDF]
, 2010 We present in this paper a result about existence and convexity of solutions to a free boundary problem of Bernoulli type, with non constant gradient boundary constraint depending on the outer unit normal. In particular we prove that, in the convex case,
Bianchini, Chiara
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