Abstract:
In the report, the existence of the renormalized solutions of the Dirichlet boundary conditions, which can be satisfied by
p(
x)-Laplace elliptic equations with an optional low order term in bounded domains
Ω, was studied. The low order term
H was optional, and which satisfied certain growth conditions, the right end item
f belonged to
L1 data. The function space theory, the truncation functions, and the gradient estimation methods were used to prove the existence of the renormalization solutions for
p(
x)-Laplace equations.