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.

Fiscella, A., Vecchi, E. (2018). Bifurcation and multiplicity results for critical magnetic fractional problems. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018(153), 1-18.

Bifurcation and multiplicity results for critical magnetic fractional problems

Fiscella A
;
2018

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.
Articolo in rivista - Articolo scientifico
fractional magnetic operators, critical nonlinearities, variational methods
English
1
18
18
Fiscella, A., Vecchi, E. (2018). Bifurcation and multiplicity results for critical magnetic fractional problems. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018(153), 1-18.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/338128
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