Opuscula Mathematica
Opuscula Math. 46, no. 3 (2026), 273-290

A priori estimates and existence of positive solutions for elliptic problems under integral Neumann boundary conditions

Francisco J.S.A. Corrêa
Giovany M. Figueiredo
Joelma Morbach
Abstract. In this paper, we establish a priori estimates and existence of positive solutions for elliptic problems under integral Neumann boundary conditions.
Keywords: a priori estimates, positive solution, integral Neumann boundary condition.
Mathematics Subject Classification: 35A15, 45P05.
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About the authors ▼
Francisco J.S.A. Corrêa
Universidade Federal do Pará, Instituto de Ciências Exatas e Naturais, Programa de Doutorado em Matemática, CEP: 66.075-110, Belém-PA, Brazil
Giovany M. Figueiredo (corresponding author)
https://orcid.org/0000-0003-1697-1592
Universidade de Brasília, Departamento de Matemática, CEP: 70.910-900, Brasília-DF, Brazil
Joelma Morbach
Universidade Federal do Pará, Faculdade de Matemática, 66.075-110, Belém-PA, Brazil
About the article ▼
Communicated by J.I. Díaz.
Received: 2026-04-26.
Revised: 2026-05-14.
Accepted: 2026-05-20.
Published online: 2026-06-03.
Cite this article as ▼
Francisco J.S.A. Corrêa, Giovany M. Figueiredo, Joelma Morbach, A priori estimates and existence of positive solutions for elliptic problems under integral Neumann boundary conditions, Opuscula Math. 46, no. 3 (2026), 273-290, https://doi.org/10.7494/OpMath.202605201.
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