The aim of this paper is to study the obstacle problem associated with noncoercive elliptic equations with variable exponents and -data. After proving the existence and regularity of entropy solutions, we have extended the Lewy–Stampacchia inequalities to the case of noncoercive elliptic operators.
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Hocine Ayadi, Fares Mokhtari, Rezak Souilah, The obstacle problem for noncoercive elliptic equations with variable growth and -data. Port. Math. 79 (2022), no. 1/2, pp. 61–83DOI 10.4171/PM/2079