TY - Type of reference TI - Laplace-Beltrami equation on a hypersurface with Lipschitz boundary AU - R. Duduchava AB - 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. DO - 10.21494/ISTE.OP.2021.0697 JF - Advances in Pure and Applied Mathematics KW - Hypersurface with Lipschitz boundary, Anisotropic Laplace Beltrami equation, Dirichlet BVP, Neumann BVP, Mixed type BVP, Günter’s derivatives, Lax-Milgram lemma, Bessel potential spaces, Hypersurface with Lipschitz boundary, Anisotropic Laplace Beltrami equation, Dirichlet BVP, Neumann BVP, Mixed type BVP, Günter’s derivatives, Lax-Milgram lemma, Bessel potential spaces, L1 - https://www.openscience.fr/IMG/pdf/iste_apam21v12nspe_3.pdf LA - en PB - ISTE OpenScience DA - 2021/07/28 SN - 1869-6090 TT - L’équation de Laplace-Beltrami sur une hypersurface avec un bord de Lipschitz UR - https://www.openscience.fr/Laplace-Beltrami-equation-on-a-hypersurface-with-Lipschitz-boundary IS - Issue 3 (Special AUS-ICMS 2020) VL - 12 ER -