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

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


Published in:
Mathematische Nachrichten, 290, 2-3, 236-247
Year:
2017
Publisher:
Weinheim, Wiley-V C H Verlag Gmbh
ISSN:
0025-584X
Keywords:
Laboratories:




 Record created 2017-05-01, last modified 2018-01-28


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