Linear and nonlinear abstract elliptic equations with VMO coefficients and applications
Linear and nonlinear abstract elliptic equations with VMO coefficients and applications
In this paper, maximal regularity properties for linear and nonlinear elliptic differential-operator equations with VMO (vanishing mean oscillation) coefficients are studied. For linear case, the uniform separability properties for parameter dependent boundary value problems is obtained in spaces. Then the existence and uniqueness of a strong solution of the boundary …