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Positive solutions for a class of nonlocal problems with possibly singular nonlinearity

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Autor(es):
Gasinski, Leszek ; Santos Junior, Joao R. ; Siciliano, Gaetano
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Journal of Fixed Point Theory and Applications; v. 24, n. 3, p. 15-pg., 2022-09-01.
Resumo

We study a class of elliptic problems with homogeneous Dirichlet boundary condition and a nonlinear reaction term f which is nonlocal depending on the L-p-norm of the unknown function. The nonlinearity f can make the problem degenerate since it may even have multiple singularities in the nonlocal variable. We use fixed point arguments for an appropriately defined solution map, to produce multiplicity of classical positive solutions with ordered norms. (AU)

Processo FAPESP: 19/27491-0 - Estudo de equações diferenciais parciais via métodos variacionais e topológicos
Beneficiário:Gaetano Siciliano
Modalidade de apoio: Bolsas no Exterior - Pesquisa