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Sep 16, 2013 at 16:07 comment added Michael Renardy There is a rather extensive literature on elliptic boundary value problems for domains with corners. The monograph by Grisvard is a good place to start looking.
Sep 16, 2013 at 7:48 comment added Bruno Volzone Hi Michael. I was thinking on a cone $B\times (-R,R)$ as a domain $\Omega$, on which I have nonhomogeneous Dirichlet condition on $u=g$ on the two faces $y=\pm R$ (which is the part $\Gamma$ of the boundary in my question), while I have zero Neumann condition on the lateral boundary.
Sep 15, 2013 at 22:31 comment added Michael Renardy What is the boundary condition on the other part of the boundary? And how, if at all, are the parts joined together?
Sep 15, 2013 at 17:26 review First posts
Sep 15, 2013 at 17:30
Sep 15, 2013 at 17:07 history asked Bruno Volzone CC BY-SA 3.0