Renormalized Solution for a nonlinear parabolic problems with noncoercivity in divergence form in Orlicz Spaces

作者：

Highlights：

• We prove the existence result in the setting of Orlicz–Sobolev Spaces.

• The N-function M does not satisfy the Δ2-condition.

• Existence of a renormalized solution for a class of nonlinear parabolic equations.

• The data belongs to L1 and no continuous assumption is made on divergence form.

摘要

•We prove the existence result in the setting of Orlicz–Sobolev Spaces.•The N-function M does not satisfy the Δ2-condition.•Existence of a renormalized solution for a class of nonlinear parabolic equations.•The data belongs to L1 and no continuous assumption is made on divergence form.

论文关键词：Parabolic problems,Orlicz–Sobolev Spaces,Renormalized solutions,Noncoercive problems

论文评审过程：Available online 6 November 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.10.026