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

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Autor(es):
Ferreira, Lucas C. F. ; Lagoin, Wender S.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. N/A, p. 35-pg., 2024-05-21.
Resumo

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. (AU)

Processo FAPESP: 20/05618-6 - Boa-colocação e propriedades qualitativas para EDPs não-lineares
Beneficiário:Lucas Catão de Freitas Ferreira
Modalidade de apoio: Auxílio à Pesquisa - Regular