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An abstract sub-supersolution method in partially ordered spaces

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Publication:2112601
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DOI10.1016/j.nonrwa.2022.103784zbMath1506.35104OpenAlexW4308810006MaRDI QIDQ2112601

Lucas Fresse, Viorica V. Motreanu

Publication date: 11 January 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103784


zbMATH Keywords

\(p\)-LaplacianDirichlet conditionsub-supersolution methodpartially ordered spaces


Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Quasilinear elliptic equations with (p)-Laplacian (35J92)




Cites Work

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  • On the sub-supersolution method for \(p(x)\)-Laplacian equations
  • A unified approach for multiple constant sign and nodal solutions
  • Location of nodal solutions for quasilinear elliptic equations with gradient dependence
  • Nonlinear mappings of monotone type in Banach spaces
  • Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
  • On sign-changing solutions of certain semilinear elliptic problems
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