On Fractional Kirchhoff Problems with Liouville–Weyl Fractional Derivatives

Nyamoradi N.; Torres Ledesma C.E. · Journal of Contemporary Mathematical Analysis (2024) · DOI: 10.3103/s1068362324700055

Resumen

Abstract: In this paper, we study the following fractional Kirchhoff-type problem with Liouville–Weyl fractional derivatives: (Formula presented.) where,,, and denote the left and right Liouville–Weyl fractional derivatives, is fractional critical Sobolev exponent and. Under suitable values of the parameters, and, we obtain a nonexistence result of nontrivial solutions of infinitely many nontrivial solutions for the above problem. © Allerton Press, Inc. 2024.

Instituciones: Universidad Nacional de Trujillo