Laplace-Beltrami equation on a hypersurface with Lipschitz boundary

R. Duduchava
2021 Advances in Pure and Applied Mathematics  
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 Γ = ∂C in the classical W 1 (C) space setting.
doi:10.21494/iste.op.2021.0697 fatcat:2v3rr2ahz5c3hpplxkamundb7m