Bifurcation of solutions of elliptic problems: local and global behaviour

José L. Gámez, Juan F. Riuz

DOI: http://dx.doi.org/10.12775/TMNA.2004.009

Abstract


Here we study the local behavior of the continua in the
case of Neumann boundary conditions, pointing out some qualitative
differences with the Dirichlet case. We also combine local and
global behavior of the bifurcating sets to obtain existence of
solutions and study of their sign for some related
problems.

Keywords


Bifurcation; Neumann versus Dirichlet boundary condition; resonant elliptic problems

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