We discuss existence and multiplicity of bounded variation solutions of the non-homogeneous Neumann problem for the prescribed mean curvature equation{-div(del u/root 1+vertical bar del u vertical bar(2)) = g(x, u) +h in Omega,-del u.v/root 1+vertical bar del u vertical bar(2) =k on partial derivative Omega,where g (x; s) is periodic with respect to s. Our approach is variational and makes use of non-smooth critical point theory in the space of bounded variation functions.
MULTIPLE BOUNDED VARIATION SOLUTIONS OF A CAPILLARITY PROBLEM
Obersnel, F;Omari, P
2011-01-01
Abstract
We discuss existence and multiplicity of bounded variation solutions of the non-homogeneous Neumann problem for the prescribed mean curvature equation{-div(del u/root 1+vertical bar del u vertical bar(2)) = g(x, u) +h in Omega,-del u.v/root 1+vertical bar del u vertical bar(2) =k on partial derivative Omega,where g (x; s) is periodic with respect to s. Our approach is variational and makes use of non-smooth critical point theory in the space of bounded variation functions.File in questo prodotto:
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