An inverse boundary value problem for certain anisotropic quasilinear elliptic equations

In this paper we prove uniqueness in the inverse boundary value problem for quasilinear elliptic equations whose linear part is Laplacian and nonlinear divergence of a function analytic gradient solution. The main novelty terms result that coefficients nonlinearity are allowed to be “anisotropic”. As previous works, proof reduces an integral identity involving tensor product gradients 3 or more harmonic functions. Employing construction method using Gaussian quasi-modes, obtain convenient family functions plug into establish our result.