Results 21 to 30 of about 22,597,145 (371)
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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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.
Francesca Da Lio, Tristan Rivière
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Degenerate Elliptic Systems [PDF]
Rocky Mountain Journal of Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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System size dependence of elliptic flows in relativistic heavy-ion collisions [PDF]
, 2006 The elliptic flows in both Cu+Cu and Au+Au collisions at the Relativistic Heavy Ion Collider are studied in a multi-phase transport model. For both collisions at same reduced impact parameter and minimum bias collisions, the elliptic flow of partons in ...
Ackermann +49 more
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On a semilinear elliptic system
Differential and Integral Equations, 1995 The authors consider a Dirichlet problem for the elliptic system \[ - \Delta v= H_u(u, v),\;-\Delta u= H_v(u, v)\tag{\(*\)} \] in some bounded domain \(\Omega\subset \mathbb{R}^N\) with smooth boundary. The growth conditions on \(H\) are \(|H_u(u, v)|\leq C(1+ |u|^p+ |v|^{(q+ 1){p\over p+ 1}})\), \(|H_v(u, v)|\leq C(1+ |v|^q+ |u|^{(p+ 1){q\over q+ 1}})\
Clément, Ph. +1 more
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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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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
semanticscholar +1 more source
ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS
Проблемы анализа, 2019 We consider an elliptic system in the disk |z| < 1 for the so-called p-analytic functions. This system admits degeneration at the boundary of the disk.
E. A. Shcherbakov, I. A. Avdeyev
doaj +1 more source
Nonvariational elliptic systems
Discrete & Continuous Dynamical Systems - A, 2002 The authors deal with a comprehensive treatment of large classes of sublinear and superlinear elliptic systems, that is \[ \begin{cases} -\Delta u=f(u,v),\;-\Delta v=g(u,v) &\text{in }\Omega,\\ u=v=0 &\text{on }\partial\Omega, \end{cases} \] where \(\Omega\subset\mathbb R^N\), \(N\geq 3\), is a smooth bounded domain.
Djairo G. de Figueiredo +1 more
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Quasilinear elliptic systems [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 1978 The quasilinear elliptic system $$\sum\limits_{l{\text{ = 1}}}^n {\frac{\partial }{{\partial x_l }}\left\{ {\sum\limits_{j = 1}^N {\sum\limits_{m = 1}^n {C_{ij}^{lm} [x,U]\frac{{\partial U^j }}{{\partial x_m }} + B_i^l [x,U]} } } \right\} + F_i [x,U] = 0} $$
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