COMBINED EFFECTS FOR A CLASS OF FRACTIONAL VARIATIONAL INEQUALITIES

Deng S.; Luo W.; Torres Ledesma C.E. · Opuscula Mathematica (2025) · DOI: 10.7494/opmath.2025.45.2.119

Resumen

In this paper, we study the existence of a nonnegative weak solution to the following nonlocal variational inequality: (Function Presented) for all v ∈ K, where s ∈ (0, 1) and M is a continuous steep potential well on RN. Using penalization techniques from del Pino and Felmer, as well as from Bensoussan and Lions, we establish the existence of nonnegative weak solutions. These solutions localize near the potential well Int(M−1(0)).

Instituciones: Universidad Nacional de Trujillo