Existence results for a perturbed Dirichlet problem without sign condition in Orlicz spaces

• Date: 2020
• Main Authors: Moussa, H., Rhoudaf, M., Sabiki , H.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/373
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We deal with the existence result for nonlinear elliptic equations related to the form$$Au + g(x, u,\nabla u) = f,$$where the term $-{\rm div}\Big(a(x,u,\nabla u)\Big)$ is a Leray–Lions operator from a subset of $W^{1}_{0}L_M(\Omega)$ into its dual.  The growth and coercivity...