Estimates on the Green function and existence of positive solutions for some polyharmonic nonlinear equations in the half space

DOI10.1007/S00229-003-0410-4zbMath1065.35108OpenAlexW2088527241MaRDI QIDQ1434142

Malek Zribi, Imed Bachar, Habib Maagli

Publication date: 1 July 2004

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-003-0410-4

zbMATH Keywords

Dirichlet boundary conditionspositive solutionGreen function\(m\)-polyharmonic nonlinear elliptic problem3G-TheoremKato class of functions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (6)

Positive continuous solutions for some semilinear elliptic problems in the half space ⋮ Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions ⋮ The boundary growth of superharmonic functions and positive solutions of nonlinear elliptic equations ⋮ Sharp estimates for the Green function, 3G inequalities, and nonlinear Schrödinger problems in uniform cones ⋮ On some quasimetrics and their applications ⋮ Existence results for some polyharmonic problems in the half-space

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