Online First version
https://doi.org/10.7494/OpMath.202605201

 
Opuscula Mathematica

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.

Full text (pdf)

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  • 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
  • Joelma Morbach
  • Universidade Federal do Pará, Faculdade de Matemática, 66.075-110, Belém-PA, Brazil
  • Communicated by J.I. Díaz.
  • Received: 2026-04-26.
  • Revised: 2026-05-14.
  • Accepted: 2026-05-20.
  • Published online: 2026-06-03.
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