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Multiple solutions of a Kirchhoff type elliptic problem with the Trudinger-Moser growth. (English) Zbl 1379.35122

The authors extend a previously obtained multiplicity result for a Dirichlet problem on a bounded two-dimensional domain and involving a nonlinearity with critical Trudinger-Moser growth to a corresponding Kirchhoff type problem.

MSC:

35J60 Nonlinear elliptic equations
35J20 Variational methods for second-order elliptic equations
35J25 Boundary value problems for second-order elliptic equations
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Full Text: Euclid