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Nonlinear elliptic systems [PDF]

open access: yesAnais 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
doaj   +5 more sources

A Priori Bounds And Existence Of Positive Solutions For Semilinear Elliptic Systems [PDF]

open access: yes, 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.
core   +3 more sources

Borderline Global Regularity for Nonuniformly Elliptic Systems [PDF]

open access: yesInternational 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
semanticscholar   +1 more source

Elliptic flow in small systems due to elliptic gluon distributions?

open access: yesPhysics Letters B, 2017
We investigate the contributions from the so-called elliptic gluon Wigner distributions to the rapidity and azimuthal correlations of particles produced in high energy pp and pA collisions by applying the double parton scattering mechanism.
Yoshikazu Hagiwara   +3 more
doaj   +5 more sources

Existence and uniqueness of elliptic systems with double phase operators and convection terms [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2020
In this paper we study quasilinear elliptic systems driven by so-called double phase operators and nonlinear right-hand sides depending on the gradients of the solutions.
G. Marino, Patrick Winkert
semanticscholar   +1 more source

Riemann–Hilbert boundary value problem for multidimensional elliptic systems of equations

open access: yesLietuvos 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
doaj   +3 more sources

Multidimensional analogs of A. Bicardze system

open access: yesLietuvos 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
doaj   +3 more sources

Einstein-Type Elliptic Systems

open access: yesAnnales 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
openaire   +3 more sources

Gradient Estimates for Divergence Form Elliptic Systems Arising from Composite Material [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2019
In this paper, we show that $W^{1,p}$ $(1\leq ...
Hongjie Dong, Longjuan Xu
semanticscholar   +1 more source

On superquadratic elliptic systems [PDF]

open access: yesTransactions 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
openaire   +2 more sources

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