A bifurcation theorem for potential operators |
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Authors: | Paul H Rabinowitz |
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Affiliation: | Department of Mathematics, University of Madison-Wisconsin, Madison, Wisconsin 53706 U.S.A. |
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Abstract: | A general bifurcation theorem for potential operators is proved. It describes the possible behavior of the set of solutions of an operator equation as a function of the eigenvalue parameter in a neighborhood of the bifurcation point. The theorem applies in particular to buckling problems in elasticity theory as well as to other fields in which the bifurcation problems have a variational formulation. |
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