918 research outputs found
A symmetry result for cooperative elliptic systems with singularities
We obtain symmetry results for solutions of an elliptic system of equation
possessing a cooperative structure. The domain in which the problem is set may
possess "holes" or "small vacancies" (measured in terms of capacity) along
which the solution may diverge.
The method of proof relies on the moving plane technique, which needs to be
suitably adapted here to take care of the complications arising from the
vacancies in the domain and the analytic structure of the elliptic system
Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
We construct identities of Pohozhaev type, in the context of elastostatics
and elastodynamics, by using the Noetherian approach. As an application, a
non-existence result for forced semi-linear isotropic and anisotropic elastic
systems is established
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