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Regularity of the extremal solution for a biharmonic problem with general nonlinearity

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Publication:1041699
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DOI10.3934/cpaa.2009.8.1709zbMath1182.31009OpenAlexW4297810702MaRDI QIDQ1041699

Guillaume Warnault

Publication date: 4 December 2009

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

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.1709


zbMATH Keywords

extremal solutionsemilinear equationBiharmonic operator


Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)


Related Items (4)

Estimates of the extremal solution for the bilaplacian with general nonlinearity ⋮ Gelfand problem and hemisphere rigidity ⋮ Hardy-Rellich inequalities with boundary remainder terms and applications ⋮ On solutions of second and fourth order elliptic equations with power-type nonlinearities




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