We present a general multiplicity result for the critical points of locally Lipschitz functionals on Banach spaces, based on a property of Chebyshev sets. Due to its generality, the result allows applications to a wide range of differential problems on both bounded and unbounded domains. Moreover, it can be used to prove a bifurcation result for systems of differential equations.
A new method in critical point theory based on convexity and approximation
IANNIZZOTTO, ANTONIO
2007-01-01
Abstract
We present a general multiplicity result for the critical points of locally Lipschitz functionals on Banach spaces, based on a property of Chebyshev sets. Due to its generality, the result allows applications to a wide range of differential problems on both bounded and unbounded domains. Moreover, it can be used to prove a bifurcation result for systems of differential equations.
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