Suellen Cristina Q. Arruda, Rubia G. Nascimento
Abstract:
In this work we show the existence and multiplicity of positive solutions for a
singular elliptic problem which the operator is non-linear and non-homogenous.
We use the sub-supersolution method to study the following class of
p&q-singular problems
where Ω is a bounded domain in RN with N≥3,
2≤p<N and γ>0. The hypotheses on the functions a, h,
and f allow us to extend this result to a large class of problems.
Submitted April 4, 2020. Published April 2, 2021.
Math Subject Classifications: 35B35, 35B40, 35K57, 35Q92, 92C17.
Key Words: p&q-problem; sub-supersolution method; singular elliptic problem.
DOI: https://doi.org/10.58997/ejde.2021.25
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Suellen Cristina Q. Arruda Faculdade de Ciências Exatas e Tecnologia Universidade Federal do Pará - UFPA Abaetetuba, PA 68440-000, Brazil email: scqarruda@ufpa.br |
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Rúbia G. Nascimento Instituto de Ciências Exatas e Naturais Universidade Federal do Pará - UFPA Belém-PA, PA 66075-110, Brazil email: rubia@ufpa.br |
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