On positive solutions of fractional elliptic equations with oscillating nonlinearity

Corrêa F.J.S.A.; Ledesma C.E.T.; Nóbrega A.B. · Fractional Calculus and Applied Analysis (2025) · DOI: 10.1007/s13540-025-00379-4

Resumen

This paper investigates the existence and multiplicity of positive solutions to the following semilinear problem: (Figure presented.) where f∈C([0,∞),R) represents an oscillating nonlinearity that satisfies a type of area condition. Our main analytical tools include variational methods and the sub-supersolution method. © Diogenes Co.Ltd 2025.

Instituciones: Universidad Nacional de Trujillo