The existence of positive entire solutions to singular nonlinear polyharmonic equations in \(\mathbb R^n\)

DOI10.1016/S0096-3003(03)00370-9zbMath1136.35345MaRDI QIDQ1827011

Xingye Xu, Lokenath Debnath

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

fixed point theorempolyharmonic equationequicontinuitycontinuous mappingpositive entire solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Higher-order elliptic equations (35J30) Entire solutions to PDEs (35B08)

Related Items (4)

Multiplicity of positive radially symmetric solutions for a quasilinear biharmonic equation in the plane ⋮ Multiplicity of radially symmetric solutions for a \(p\)-harmonic equation in \(\mathbb R^N\) ⋮ Positive solutions of polyharmonic equations with strong dependence on the gradient ⋮ Existence of positive solutions of singular elliptic boundary value problems in a ball

Cites Work

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• Ganze Lösungen der Differentialgleichung \(\Delta^p u = f(u)\)
• Zur Existenz ganzer Lösungen der Differentialgleichung \(\Delta^p u=e^u\)
• Positive entire solutions of semilinear biharmonic equations
• Entire solutions of Δ^pu = f(r, u)

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