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arXiv · 2312.04473

Asymptotically linear magnetic fractional problems

Rossella Bartolo·Pietro d'Avenia·Giovanni Molica Bisci
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Abstract

The aim of this paper is investigating the existence and multiplicity of weak solutions to non--local equations involving the {\em 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.

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Rossella Bartolo, Pietro d'Avenia, Giovanni Molica Bisci. 2023-12-07. Asymptotically linear magnetic fractional problems. https://arxiv.org/abs/2312.04473

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