Existence of a Renormalized Solution to a Nonlinear Elliptic Equation with L1-Data in the Space ℝn
摘要
We consider a second-order quasilinear elliptic equation with an integrable right-hand side in the space ℝn. Restrictions on the structure of the equation are formulated in terms of a generalized N-function. In the nonreflexive Musielak-Orlicz-Sobolev spaces, the existence of a renormalized solution in the space ℝn is proved.