<p>This paper aims to establish the existence of infinitely many solutions that vanish at infinity for a class of nonsmooth dynamical systems, even in the absence of the Palais-Smale compactness condition, by utilizing a refined variant of Clarke’s standard theorem.</p>

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Infinitely of many solutions that vanish at infinity for a class of nonsmooth dynamical systems

  • Abderrazek Benhassine

摘要

This paper aims to establish the existence of infinitely many solutions that vanish at infinity for a class of nonsmooth dynamical systems, even in the absence of the Palais-Smale compactness condition, by utilizing a refined variant of Clarke’s standard theorem.