PJO: Entropy solutions to the obstacle problem for nonlinear elliptic problems with variable exponent and <i>L</i><sup>1</sup>-data



	Volume 5, Number 1, January 2009, pp. 127-141
	Stanislas Ouaro and Sado Traore
	Key words:
	obstacle problem, variable exponent, entropy solutions, weak energy solutions, coincidence set, Lewy-Stampacchia inequalities
		Mathematices Subject Classification: 35J85, 35J70, 35B30, 35R35

ONLINE SUBSCRIPTION (Institutional Subscription Only)


	Abstract:
	We establish for L¹-$data, existence, uniqueness and continuous dependence results to the obstacle problem for nonlinear elliptic equations with variable exponent, where the variable exponent is supposed only measurable. Other classical results about stability properties of the corresponding coincidence set and the Lewy-Stampacchia inequalities are presented.

Entropy solutions to the obstacle problem for nonlinear elliptic problems with variable exponent and L¹-data