A solution between sub- and supersolutions for semilinear elliptic equations with a nonlocal term in a continuous setting

DOI10.3934/CPAA.2023032OpenAlexW4323341838MaRDI QIDQ2700927

Guido Sweers, Philippe Clément

Publication date: 27 April 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2023032

zbMATH Keywords

existencesub- and supersolutionselliptic b.v.p.

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• On the Dirichlet problem for quasi-linear elliptic differential equations of the second order
• On the existence of a maximal weak solution for a semilinear elliptic equation
• Supersolutions, monotone iterations, and stability
• Elliptic partial differential equations of second order
• The sub-supersolution method for weak solutions
• The Dirichlet problem by variational methods
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