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BIFURCATION AND MULTIPLICITY RESULTS FOR CRITICAL MAGNETIC FRACTIONAL PROBLEMS

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Author(s):
Fiscella, Alessio ; Vecchi, Eugenio
Total Authors: 2
Document type: Journal article
Source: Electronic Journal of Differential Equations; v. N/A, p. 18-pg., 2018-08-13.
Abstract

This article concerns the bifurcation phenomena and the existence of multiple solutions for a non-local boundary value problem driven by the magnetic fractional Laplacian (-Delta)(A)(S). In particular, we consider (-Delta)(A)(S) u = lambda u + vertical bar u vertical bar(2)*(s-2)u in Omega, u = 0 in R-n \ Omega, where lambda is a real parameter and Omega subset of R-n is an open and bounded set with Lipschitz boundary. (AU)

FAPESP's process: 17/19752-3 - Fractional problems with lack of compactness
Grantee:Alessio Fiscella
Support Opportunities: Regular Research Grants