English

Critical and subcritical fractional problems with vanishing potentials

Analysis of PDEs 2014-11-27 v3

Abstract

We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are allowed for vanishing behavior at infinity. The problem is set on the whole space and compactness issues have to be tackled.

Keywords

Cite

@article{arxiv.1410.0843,
  title  = {Critical and subcritical fractional problems with vanishing potentials},
  author = {João Marcos do Ó and Olimpio H. Miyagaki and Marco Squassina},
  journal= {arXiv preprint arXiv:1410.0843},
  year   = {2014}
}

Comments

14 pages, typos corrected

R2 v1 2026-06-22T06:12:29.095Z