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Multiple solutions to the nonhomogeneous Kirchhoff type problem involving a nonlocal operator. (English) Zbl 1345.35020

Authors’ abstract: This paper examines the nonhomogenous Kirchhoff type equation that involves a nonlocal operator. Using Ekeland’s variational principle and the Mountain pass theorem, the existence of multiple solutions is established.

MSC:

35J20 Variational methods for second-order elliptic equations
35J60 Nonlinear elliptic equations
47G20 Integro-differential operators
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