We quantify the uniqueness of continuation from Cauchy or interior data. Our approach consists in extending the existing results in the linear case. As by product we obtain a new stability estimate in the linear case. We also show the so-called strong uniqueness of continuation and the uniqueness of continuation from a set of positive measure. These results are derived by using a linearization procedure.
Energy estimates for a class of semilinear elliptic equations on half Euclidean balls
Pointwise estimates of solutions to semilinear elliptic equations and inequalities
Regularity of radial stable solutions to semilinear elliptic equations for the fractional Laplacian
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