Abstract
We study the equation div(fΔu)=0 for functions f which may become infinite at some subset of the domain of definition. After defining adequate Sobolev-like spaces of functions, we make a careful study of the behaviour of admissible solutions in the neighbourhood of singular points. This enables us to show that the Dirichlet problem possesses a space of solutions whose dimension is determined by the number and characteristics of the connected components of the set f=∞, a similar conclusion holds for the Neumann problem.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
