Janpou Nee
Published 2015-11-15Version 1
The location of critical points corresponding to both Dirichlet and Neumann boundary condition are concerned. A counter example of inheritance of convexity of domain is given, then using Pohozeav identity locally, the location of critical points of Neumann boundary value problem and the uniqueness of local extrema of Dirichlet boundary value problem are studied.
Existence of critical points with semi-stiff boundary conditions for singular perturbation problems in simply connected planar domains
Patterns with prescribed numbers of critical points on topological tori
On the sharp stability of critical points of the Sobolev inequality
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