In this paper we study existence of solutions for the following variational semilinear singular system: {u > 0 in Omega, u is an element of H(0)(1)(Omega) : -div(A(x)del u) = theta z(p)/u(1-theta), z > 0 in Omega, z is an element of H(0)(1)(Omega) : -div(M(x)del z) = pu(theta)z(p-1), where Omega is a bounded open subset of R(N), N > 2, A and M are bounded measurable elliptic matrices, and p and theta are such that 0 < theta < 1, p > 0, theta + p < 2*. (C) 2011 Published by Elsevier Ltd

A variational semilinear singular system / Boccardo, Lucio; Orsina, Luigi. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 74:12(2011), pp. 3849-3860. [10.1016/j.na.2011.01.017]

A variational semilinear singular system

BOCCARDO, Lucio;ORSINA, Luigi
2011

Abstract

In this paper we study existence of solutions for the following variational semilinear singular system: {u > 0 in Omega, u is an element of H(0)(1)(Omega) : -div(A(x)del u) = theta z(p)/u(1-theta), z > 0 in Omega, z is an element of H(0)(1)(Omega) : -div(M(x)del z) = pu(theta)z(p-1), where Omega is a bounded open subset of R(N), N > 2, A and M are bounded measurable elliptic matrices, and p and theta are such that 0 < theta < 1, p > 0, theta + p < 2*. (C) 2011 Published by Elsevier Ltd
2011
calculus of variations; semilinear systems; singular systems
01 Pubblicazione su rivista::01a Articolo in rivista
A variational semilinear singular system / Boccardo, Lucio; Orsina, Luigi. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 74:12(2011), pp. 3849-3860. [10.1016/j.na.2011.01.017]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/376811
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