Results 1 to 10 of about 22,884,854 (275)
Nonlinear elliptic systems [PDF]
Anais da Academia Brasileira de Ciências, 2000 In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,Ñu,Ñv), - deltav = g(x, u, v, Ñu, Ñv), in omega, We discuss several classes of such
DJAIRO G. DEFIGUEIREDO
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Borderline Global Regularity for Nonuniformly Elliptic Systems [PDF]
International mathematics research notices, 2022 We establish sharp global regularity results for solutions to nonhomogeneous, nonuniformly elliptic systems with zero boundary conditions imposed only on some part of the boundary of convex domains.
C. Filippis, Mirco Piccinini
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A pointwise differential inequality and second-order regularity for nonlinear elliptic systems [PDF]
Mathematische Annalen, 2021 A sharp pointwise differential inequality for vectorial second-order partial differential operators, with Uhlenbeck structure, is offered. As a consequence, optimal second-order regularity properties of solutions to nonlinear elliptic systems in domains ...
A. Balci +3 more
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Riemann–Hilbert boundary value problem for multidimensional elliptic systems of equations
Lietuvos Matematikos Rinkinys, 2023 Multidimensional analogues of Cauchy–Riemann quations and of Riemann–Hilbert boundary value problem are studied. Their relation to the scalar boundary value problem is demonstrated.
Eugenijus Paliokas
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On superquadratic elliptic systems [PDF]
Transactions of the American Mathematical Society, 1994 In this article we study the existence of solutions for the elliptic system \[ − Δ u = ∂ H ∂ v (
de Figueiredo, Djairo G. +1 more
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Multidimensional analogs of A. Bicardze system
Lietuvos Matematikos Rinkinys, 2001 The problem of classification of elliptic partial differential systems is studied. Two classes of multidimensional elliptic systems are defined, that are to be considered multidimensional analogs of strongly connected and weekly connected elliptic ...
Eugenijus Paliokas
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An Elliptic Garnier System [PDF]
Communications in Mathematical Physics, 2017 We present a linear system of difference equations whose entries are expressed in terms of theta functions. This linear system is singular at $4m+12$ points for $m \geq 1$, which appear in pairs due to a symmetry condition. We parameterize this linear system in terms a set of kernels at the singular points.
Ormerod, Chris M., Rains, Eric M.
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Gradient Estimates for Divergence Form Elliptic Systems Arising from Composite Material [PDF]
SIAM Journal on Mathematical Analysis, 2019 In this paper, we show that $W^{1,p}$ $(1\leq ...
Hongjie Dong, Longjuan Xu
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Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
Mathematics in Engineering, 2020 In this paper we prove the existence of infinitely many saddle-shaped positive solutions for non-cooperative nonlinear elliptic systems with bistable nonlinearities in the phase-separation regime.
Nicola Soave
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COHERENT SYSTEMS ON ELLIPTIC CURVES [PDF]
International Journal of Mathematics, 2005 In this paper we consider coherent systems (E,V) on an elliptic curve which are α-stable with respect to some value of a parameter α. We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimension. Moreover we give precise conditions for non-emptiness of the moduli spaces.
Lange, Herbert, Newstead, P. E.
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