Lipschitz and Hölder stable determination of nonlinear terms for elliptic equations

Abstract We consider the inverse problem of determining some class nonlinear terms appearing in an elliptic equation from boundary measurements. More precisely, we study stability issue for this problems. Under suitable assumptions, prove a Lipschitz and Hölder estimate associated with determination quasilinear semilinear equations measurements restricted to arbitrary part domain. Besides their mathematical interest, our estimates can be useful improving numerical reconstruction terms. Our approach combines linearization technique applications singular solutions.