@ARTICLE{10.21494/ISTE.OP.2021.0697, 

TITLE={Laplace-Beltrami equation on a hypersurface with Lipschitz boundary}, 
  
AUTHOR={R. Duduchava, }, 
	
JOURNAL={Advances in Pure and Applied Mathematics}, 
	
VOLUME={12}, 

NUMBER={Issue 3 (Special AUS-ICMS 2020)}, 
	
YEAR={2021}, 

URL={https://www.openscience.fr/Laplace-Beltrami-equation-on-a-hypersurface-with-Lipschitz-boundary}, 
	
DOI={10.21494/ISTE.OP.2021.0697}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={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.}}