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Open Access Research Article

Multiplicity results for homoclinic solutions in nonsmooth dynamical p-Laplacian systems without compactness

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pp. 1909–1917Vol. 29Issue 6June 2026DOI: 10.47974/JIM-2332XML
Received:
01 Feb 2025
Published Online:
03 Apr 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2332
Pages:
1909–1917

Abstract

This paper investigates a class of nonsmooth dynamical p-Laplacian systems and establishes the existence of infinitely many homoclinic solutions-solutions that vanish at infinity. The main novelty lies in overcoming the lack of the Palais-Smale compactness condition by employing a refined variant of Clarke’s critical point theory, adapted to the nonsmooth variational framework. 

Keywords

Subject Classifications

35J2035J60

References

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