Integrability For Solutions To Some Boundary Value Problems And Some Anisotropic Obstacle Problems

This paper is divided into two parts. The first part is to get higher integrability for solutions to boundary value problems of some anisotropic elliptic equations of the type under some suitable coercivity and growth conditions on the vector a(x,z)= (a1(x,z), a2(x,z), …,an(x,z)). The conditions are suggested by the Euler equation of the anisotropic functional The second part is to consider Κφ,θ(pi)-obstacle problems of the nonhomogeneous anisotropic elliptic equations the controllable growth and monotonicity condition of the vector a(x,z)= (a1(x,z), a2(x,z), …,an(x,z)) are suggested by the Euler equation of the anisotropic functional The integrability result is obtained.