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Nontrivial solutions of Kirchhoff-type problems via the Yang index
Authors:Kanishka Perera  Zhitao Zhang
Affiliation:a Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA
b Academy of Mathematics and Systems Science, Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, PR China
Abstract:
We obtain nontrivial solutions of a class of nonlocal quasilinear elliptic boundary value problems using the Yang index and critical groups.
Keywords:primary 35J65   secondary 35J20   47J10
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