Let
Hom+false(double-struckTfalse) be the class of all sense‐preserving homeomorphic self‐mappings of
double-struckT=false{z=x+iy∈double-struckC:false|zfalse|=1false}. The aim of this paper is twofold. First, we obtain Heinz‐type inequality for (K,K′)‐quasiconformal mappings satisfying inhomogeneous biharmonic equation Δ(Δω) = g in unit disk
double-struckD with associated boundary value conditions
normalΔω|T=φ∈scriptCfalse(double-struckTfalse) and
ω|T=f∗∈Hom[+false(double-struckTfalse). Second, we establish biLipschitz continuity for (K,K′)‐quasiconformal mappings satisfying aforementioned inhomogeneous biharmonic equation when
K′,false|false|φfalse||∞:=supz∈double-struckDfalse|φfalse(zfalse)false| and
false|false|gfalse||∞:=supz∈double-struckDfalse|gfalse(zfalse)false| are small enough.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.