The aim of this paper is investigating the existence and multiplicity of weak solutions to non-local equations involving the magnetic fractional Laplacian, when the nonlinearity is subcritical and asymptotically linear at infinity. We prove existence and multiplicity results by using variational tools, extending to the magnetic local and non-local setting some known results for the classical and the fractional Laplace operators.
Asymptotically linear magnetic fractional problems
Molica Bisci, Giovanni
2024-01-01
Abstract
The aim of this paper is investigating the existence and multiplicity of weak solutions to non-local equations involving the magnetic fractional Laplacian, when the nonlinearity is subcritical and asymptotically linear at infinity. We prove existence and multiplicity results by using variational tools, extending to the magnetic local and non-local setting some known results for the classical and the fractional Laplace operators.File in questo prodotto:
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