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Received December 22, 2020; Accepted March 10, 2021; Published March 25, 2021
Abstract. The existence of at least three weak solutions for a nonlinear elliptic Navier boundary value problem involving the p-triharmonic operator is investigated. The main tools used for obtaining our results are two critical points theorems established in [B. Ricceri, A three critical points theorem revisited, Nonlinear Anal. 9 (2009), 3084-3089] and [G. Bonanno, S.A. Marano, On the structure of the critical set of non-differentiable functionals with a weak compactness condition, Appl. Anal. 89 (2010), 1-10].
How to Cite this Article:
Saeid Shokooh, Three solutions for a nonlinear equation involving p-triharmonic operators, Journal of Nonlinear Functional Analysis, Vol. 2021 (2021), Article ID 9, pp. 1-9