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Multiplicity of solutions for a class of Kirchhoff type problems. (English) Zbl 1196.35077
Summary: We apply the (variant) fountain theorems to study the symmetric nonlinear Kirchhoff nonlocal problems. Under the Ambrosetti-Rabinowitz’s 4-superlinearity condition, or no Ambrosetti-Rabinowitz’s 4-superlinearity condition, we present two results of existence of infinitely many large energy solutions, respectively.

MSC:
35J20Second order elliptic equations, variational methods
35J60Nonlinear elliptic equations
35J25Second order elliptic equations, boundary value problems
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Full Text: DOI
References:
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