On a new index theory and non semi-trivial solutions for elliptic systems. (English summary) Discrete Contin. Dyn. Syst. 28 (2010), no. 2, 809–826. Summary: “Two indices, which are similar to the Krasnosel ′ skiĭ genus on the sphere, are defined on a product of spheres. They are applied to investigate the existence of multiple non-semi-trivial solutions of elliptic systems. Both constrained and unconstrained problems are studied.
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