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Multiple Critical Points for Symmetric Functionals without upper Growth Condition on the Principal Part

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This paper is concerned with variational methods applied to functionals of the calculus of variations in a multi-dimensional case. We prove the existence of multiple critical points for a symmetric… Click to show full abstract

This paper is concerned with variational methods applied to functionals of the calculus of variations in a multi-dimensional case. We prove the existence of multiple critical points for a symmetric functional whose principal part is not subjected to any upper growth condition. For this purpose, nonsmooth variational methods are applied.

Keywords: points symmetric; principal part; upper growth; multiple critical; critical points; growth condition

Journal Title: Symmetry
Year Published: 2021

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