Existence of solutions for parabolic equations of Kirchhoff type involving variable exponent
Yongqiang Fu, Mingqi Xiang · Applicable Analysis · 2015
In this paper, we study a class of quasilinear parabolic equations involving -Laplacian operator and nonlocal term in a bounded domain, which arises from biomathematics or nonstationary fluids. Under appropriate assumptions, we obtain the local existence of weak solutions by applying Galerkin’s approximation method.