Perturbations of a critical fractional equation Articles uri icon

publication date

  • September 2014

start page

  • 65

end page

  • 85

issue

  • 1

volume

  • 271

International Standard Serial Number (ISSN)

  • 0030-8730

Electronic International Standard Serial Number (EISSN)

  • 1945-5844

abstract

  • We deal with the following fractional critical problem: where Omega ⊂ RN is a regular bounded domain, 0 < alfa < 2 and N > alfa. Under appropriate conditions on the size of f , we prove existence and multiplicity of solutions.

keywords

  • critical problem; fractional laplacian; semilinear elliptic equations