On strongly indefinite systems involving the fractional Laplacian

Abstract

In this paper we study strongly indefinite systems involving the fractional Laplacian on bounded domains. We obtain existence and non-existence results, $apriori$ estimates of Gidas-Spruck type, and the symmetric property.

23 pages. The previous version had been written for the square root of Laplacian. We revised it with generalizsing the results for $(-Delta{)}_s$, $0<s<1$ in this version

References in corpus (1)

• Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings

Cited by in corpus (1)

• Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian