Titre : Laplace-Beltrami equation on a hypersurface with Lipschitz boundary Auteurs : R. Duduchava, Revue : Advances in Pure and Applied Mathematics Numéro : Issue 3 (Special AUS-ICMS 2020) Volume : 12 Date : 2021/07/28 DOI : 10.21494/ISTE.OP.2021.0697 ISSN : 1869-6090 Résumé : Main objective of the present paper is to prove solvability of the Dirichlet, Neumann and Mixed boundary value problems for an anisotropic Laplace-Beltrami equation on a hypersurface $$${C}$$$ with the Lipschitz boundary $$${\Gamma=∂C}$$$ in the classical $$${𝕎^1(C)}$$$ space setting. Éditeur : ISTE OpenScience