Abstract
Two indices, which are similar to the Krasnoselski's genus on the sphere, are defined on the product of spheres. They are applied to investigate the multiple non semi-trivial solutions for elliptic systems. Both constraint and unconstraint problems are studied.
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APA
Chang, K. C., Wang, Z. Q., & Zhang, T. (2010). A new index theory and non semi-trivial solutions for elliptic systems. Discrete and Continuous Dynamical Systems, 28(2), 809–826. https://doi.org/10.3934/dcds.2010.28.809
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