Geodesic
Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e147

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we prove a general uniqueness result in the inverse boundary value problem for the weighted p-Laplace equation in the plane, with smooth weights. We also prove a uniqueness result in dimension 3 and higher, for real analytic weights that are subject to a smallness condition on one of their directional derivatives. Both results are obtained by linearizing the equation at a solution without critical points. This unknown solution is then recovered, together with the unknown weight. 
Carstea, Catalin; Feizmohammadi, Ali. Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e147. doi: 10.1017/fms.2025.10095
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