Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings

Abstract

In this paper, we study a class of semilinear nonlocal elliptic equations posed on settings without compact Sobolev embedding. More precisely, we prove the existence of infinitely many solutions to the fractional Brezis-Nirenberg problems on bounded domain.

arXiv comment29 pages, Typos are fixed, Intro and refereces are extended

References in corpus (2)

• Convergence of scalar-flat metrics on manifolds with boundary under a Yamabe-type flow
• Further results on the fractional Yamabe problem: the umbilic case

Cited by in corpus (3)

• Solutions for a nonlocal elliptic equation involving critical growth and Hardy potential
• On strongly indefinite systems involving the fractional Laplacian
• Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents