Elliptic problems involving the p-Laplacian in ℝ^N with locally Lipschitz functional

ABSTRACT

We study the existence of infinitely many weak solutions for the elliptic type equation via a general nonsmooth critical point theorem.

KEYWORDS:

• Weak solution
• nonsmooth critical point
• variational method

AMS SUBJECT CLASSIFICATIONS:

• 35J62
• 35J50
• 58E05

Acknowledgements

Jae-Myoung Kim thanks the anonymous referee for his/her careful reading and helpful suggestions.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by BK21 PLUS SNU Mathematical Sciences Division; National Research Foundation of Korea [NRF-2016R1D1A1B03930422].