In this note, we study the problem
As an application of a general multiplicity result, we establish the existence of at least three solutions, two of which are global minimizers of the related energy functional. The only condition assumed on f is that it be subcritical and superlinear; no condition on the behaviour of f at 0 is required.
Published September 15, 2018.
Math Subject Classifications: 35J20, 35J61, 49K40, 90C26.
Key Words: Kirchhoff-type problems; multiplicity of global minimizers; variational methods.
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| Biagio Ricceri |
Department of Mathematics
University of Catania
Viale A. Doria, 95125 Catania, Italy
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