Nehari Manifold for Weighted Singular Fractional p-Laplace Equations

Sousa J.V.C.; Ledesma C.T.; Pigossi M.; Zuo J. · Bulletin of the Brazilian Mathematical Society (2022) · DOI: 10.1007/s00574-022-00302-y

Resumen

In this present paper, we investigate some essential results, in particular, involving the Nehari manifold and functional coercivity. In this sense, we attack our main result, that is, the existence of at least two positive bounded solutions for weighted singular fractional p-Laplace operator via Nehari manifold in the space ψ-fractional Hpα,β;ψ([0,T],R).

Instituciones: Universidad Nacional de Trujillo