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On a localization-in-frequency approach for a class of elliptic problems with singular boundary data
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Lucas C. F. Ferreira, Wender S. Lagoin
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Proceedings of the Royal Society of Edinburgh. Section A: Mathematics , First View

Published online by Cambridge University Press:

21 May 2024, pp. 1-35
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We consider a class of nonhomogeneous elliptic equations in the half-space with critical singular boundary potentials and nonlinear fractional derivative terms. The forcing terms are considered on the boundary and can be taken as singular measure. Employing a functional setting and approach based on localization-in-frequency and Littlewood–Paley decomposition, we obtain results on solvability, regularity, and symmetry of solutions.

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On a localization-in-frequency approach for a class of elliptic problems with singular boundary data