On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent. (18th August 2013) - Zhang, Guoqing
Abstract : Based on truncation technique and priori estimates, we prove the existence and uniqueness of weak solution for a class of anisotropic nonlinear elliptic equations with variable exponent p ( x ) → growth. Furthermore, we also obtain that the weak solution is locally bounded and regular; that is, the weak solution is L loc ∞ ( Ω ) and C 1, α ( Ω ) .