TY - JOUR AU - Aharouch, L. AU - Rhoudaf, Mohamed PY - 2017/05/22 Y2 - 2024/03/28 TI - Existence of solutions for unilateral problems with L¹ data in Orlicz spaces JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 23 IS - 3 SE - DO - 10.4067/S0716-09172004000300007 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1558 SP - 293-317 AB - <span class="fontstyle0">This article is concerned with the existence result of the unilateral problem associated to equations of the type<br /></span><span class="fontstyle2">Au </span><span class="fontstyle3">+ </span><span class="fontstyle2">g</span><span class="fontstyle3">(</span><span class="fontstyle2">x, u, </span><span class="fontstyle4">?</span><span class="fontstyle2">u</span><span class="fontstyle3">) = </span><span class="fontstyle2">f,<br /></span><span class="fontstyle0">in Orlicz spaces, where </span><span class="fontstyle2">f </span><span class="fontstyle4">? </span><span class="fontstyle2">L¹</span><span class="fontstyle3">(?)</span><span class="fontstyle0">, the term </span><span class="fontstyle2">g </span><span class="fontstyle0">is a nonlinearity having natural growth and satisfying the sign condition. Some stability and positivity properties of solutions are proved.</span> ER -