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research article

Existence of solutions to a non-variational singular elliptic system with unbounded weights

De Cave, L. M.  
•
Oliva, F.
•
Strani, M.
2017
Mathematische Nachrichten

In this paper we prove an existence result for the following singular elliptic system {z > 0 in Omega, z is an element of W-0(iota,p)(Omega) : -Delta(p)z = a(x)z(q-iota)u(theta) , u > 0 in Omega, u is an element of W-0(iota,p)(Omega) : -Delta(p)u = b(x)z(q)u(theta-iota) , where Omega is a bounded open set in R-N (N >= 2), -Delta(p) is the p-laplacian operator, a(x) and b(x) are suitable Lebesgue functions and q > 0, 0 < theta < 1, p > 1 are positive parameters satisfying suitable assumptions. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

  • Details
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Type
research article
DOI
10.1002/mana.201600038
Web of Science ID

WOS:000395222900006

Author(s)
De Cave, L. M.  
Oliva, F.
Strani, M.
Date Issued

2017

Publisher

Wiley-V C H Verlag Gmbh

Published in
Mathematische Nachrichten
Volume

290

Issue

2-3

Start page

236

End page

247

Subjects

Boundary value problems for second-0order elliptic systems

•

singular elliptic equations

•

fixed-point theorems

•

nonlinear elliptic equations

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
MATHAA  
Available on Infoscience
May 1, 2017
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/136962
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