Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 3 (Special AUS-ICMS 2020) > Article
R. Duduchava
The University of Georgia
Published on 28 July 2021 DOI : 10.21494/ISTE.OP.2021.0697
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.
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.
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
