Results 11 to 20 of about 326,138 (281)
The Nehari manifold for fractional systems involving critical nonlinearities
Communications on Pure and Applied Analysis, 2016 We study the combined effect of concave and convex nonlinearities on the number of positive solutions for a fractional system involving critical Sobolev exponents.
He, Xiaoming +2 more
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Моделирование и анализ информационных систем, 2016 We correct the computational mistakes in paper: Nesterov P. N. Center Manifold Method in the Asymptotic Integration Problem for Functional Differential Equations with Oscillatory Decreasing Coefficients. II. In: Modeling and Analysis of Information Systems.
P. N. Nesterov
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The critical manifold of the Lorentz-Dirac equation [PDF]
, 1999 We investigate the solutions to the Lorentz-Dirac equation and show that its solution flow has a structure identical to the one of renormalization group flows in critical phenomena. The physical solutions of the Lorentz-Dirac equation lie on the critical
Spohn, Herbert
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Моделирование и анализ информационных систем, 2014 In this paper, we study the asymptotic integration problem in the neighborhood of infinity for a certain class of linear functional differential systems. We construct the asymptotics for solutions of the considered systems in the critical case. Using the
P. N. Nesterov
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Instability of Ginzburg-Landau Vortices on Manifolds [PDF]
, 2011 We investigate two settings of Ginzburg-Landau posed on a manifold where vortices are unstable. The first is an instability result for critical points with vortices of the Ginzburg-Landau energy posed on a simply connected, compact, closed 2-manifold ...
Chen, Ko-Shin
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Моделирование и анализ информационных систем, 2014 In this paper we study the asymptotic integration problem in the neighborhood of infinity for a certain class of linear functional differential systems. We construct the asymptotics for the solutions of the considered systems in a critical case.
P. N. Nesterov
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Critical mappings of Riemannian manifolds [PDF]
Transactions of the American Mathematical Society, 1979 We consider maps, from one Riemannian manifold to another, which are critical for all invariantly defined functionals on the space of maps. There are many such critical mappings, perhaps too numerous to suitably classify, although a characterization of sorts is provided.
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Essential Critical Points in Product Manifolds
Rocky Mountain Journal of Mathematics, 1995 Let \(M\) be a Banach space and \(f : M \to \mathbb{R}\) a continuous function. A point \(u \in M\) is said to be essentially regular for \(f\), if, up to a local homeomorphism, \(f\) is a nonconstant affine function near \(u\). A point \(u \in M\) is said to be essentially critical, if it is not essentially regular.
Fournier, Gilles +2 more
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Addendum to "Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric", Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire, 27 (2010) 857--876 [PDF]
, 2012 We give the details of the proof of the equality between the critical groups, with respect the H^1 and C^1 topology, at a non-degenerate critical point of the energy functional of a non-reversible Finsler manifold (M,F), defined on the Hilbert manifold ...
Caponio, Erasmo +2 more
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Normal hyperbolicity and unbounded critical manifolds [PDF]
Nonlinearity, 2014 15 pages, 3 figures; improved notation and formulation, results ...
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