A note on some elliptic equations of anisotropic type

  • Moussa Chrif
  • Said El Manouni
Keywords: Anisotropic nonlinear equations, Weak solutions, Sign condition


We prove the existence of weak solutions to some nonlinear elliptic equations governed by an anisotropic operator mapping an appropriate function space to its dual. A sign condition with no growth restrictions with respect to the variable solution is imposed to a perturbed nonlinear term to the operator. The data is considered to be close to L^1 .