Results 11 to 20 of about 22,884,854 (275)
Critical chirality in elliptic systems [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2021 We establish the regularity in 2 dimension of L^{2} solutions to critical elliptic systems in divergence form involving chirality operators of finite W^{1,2} -energy.
Da Lio, Francesca, Rivière, Tristan
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Communication Aspects for a Measurement Based UWB in-Body to on-Body Channel
IEEE Access, 2019 A wireless capsule endoscopy (WCE) is a good option for the screening of the digestive system. To better facilitate detection of diseases at an early stage, gastroenterologists seek both higher frame rate and frame resolution than what is offered in the ...
Pal Anders Floor +5 more
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Preconditioning for Regular Elliptic Systems [PDF]
SIAM Journal on Numerical Analysis, 1999 The authors examine preconditioning operators for regular elliptic systems of partial differential operators. They obtain general conditions under which the preconditioned systems are bounded. Some useful guidelines for choosing left and right preconditioning operators for regular elliptic systems also are provided.
Chen, Hsing-Hsia, Strikwerda, John C.
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A Priori Bounds And Existence Of Positive Solutions For Semilinear Elliptic Systems [PDF]
, 2017 We provide a-priori L∞ bounds for classical positive solutions of semilinear elliptic systems in bounded convex domains when the nonlinearities are below the power functions v^p and u^q for any (p,q) lying on the critical Sobolev hyperbola.
Mavinga, Nsoki, Pardo, R.
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On the Existence of Integrable Solutions to Nonlinear Elliptic Systems and Variational Problems with Linear Growth [PDF]
Archive for Rational Mechanics and Analysis, 2016 We investigate the properties of certain elliptic systems leading, a priori, to solutions that belong to the space of Radon measures. We show that if the problem is equipped with a so-called asymptotic radial structure, then the solution can in fact be ...
Lisa Beck +3 more
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Elliptic Flowers: New Types of Dynamics to Study Classical and Quantum Chaos
Entropy, 2022 We construct examples of billiards where two chaotic flows are moving in opposite directions around a non-chaotic core or vice versa; the dynamics in the core are chaotic but flows that are moving in opposite directions around it are non-chaotic.
Hassan Attarchi, Leonid A. Bunimovich
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Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems [PDF]
, 2016 We establish existence, uniqueness and optimal regularity results for very weak solutions to certain nonlinear elliptic boundary value problems. We introduce structural asymptotic assumptions of Uhlenbeck type on the nonlinearity, which are sufficient ...
Miroslav Bul'ivcek +2 more
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Einstein-Type Elliptic Systems
Annales Henri Poincaré, 2022 In this paper we analyse semi-linear systems of partial differential equations which are motivated by the conformal formulation of the Einstein constraint equations coupled with realistic physical fields on asymptotically Euclidean (AE) manifolds. In particular, electromagnetic fields give rise to this kind of system.
Rodrigo Avalos, Jorge H. Lira
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Fundamental matrices and Green matrices for non-homogeneous elliptic systems [PDF]
Publicacions matemàtiques, 2016 In this paper, we establish existence, uniqueness, and scale-invariant estimates for fundamental solutions of non-homogeneous second order elliptic systems with bounded measurable coefficients in $\mathbb{R}^n$ and for the corresponding Green functions ...
Blair Davey, Jonathan Hill, S. Mayboroda
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Rarefied elliptic hypergeometric functions [PDF]
, 2018 Two exact evaluation formulae for multiple rarefied elliptic beta integrals related to the simplest lens space are proved. They generalize evaluations of the type I and II elliptic beta integrals attached to the root system $C_n$. In a special $n=1$ case,
Spiridonov, V.
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