We develop reconstruction schemes to determine penetrable obstacles in a region of \mathbb{R}^{2} or \mathbb{R}^{3} and we consider anisotropic elliptic equations. This algorithm uses oscillating-decaying solutions to the equation. We apply the oscillating-decaying solutions and the Runge approximation property to the inverse problem of identifying an inclusion in an anisotropic elliptic differential equation.
Regularity results for local solutions to some anisotropic elliptic equations
Anisotropic elliptic equations with general growth in the gradient and Hardy-type potentials
Existence and uniqueness of solutions to some anisotropic elliptic equations with a singular convection term
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