A new proof of I. Guerra's results concerning nonlinear biharmonic equations with negative exponents

DOI10.1016/j.jmaa.2014.04.005zbMath1312.35069OpenAlexW2091652664MaRDI QIDQ489081

Baishun Lai

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.04.005

zbMATH Keywords

asymptotic behaviorbiharmonic equationentire solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Higher-order elliptic equations (35J30) Entire solutions to PDEs (35B08) Axially symmetric solutions to PDEs (35B07)

Related Items (4)

On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents ⋮ Radial singular solutions for a fourth order equation with negative exponents ⋮ Higher order conformally invariant equations in \( \mathbb{R}^3 \) with prescribed volume ⋮ Non-radial solutions to a bi-harmonic equation with negative exponent

Cites Work

• A note on nonlinear biharmonic equations with negative exponents
• Multiplicity of solutions for a fourth order equation with power-type nonlinearity
• Entire solutions and global bifurcations for a biharmonic equation with singular non-linearity in \(\mathbb{R}^3\)
• Nonlinear biharmonic equations with negative exponents
• Radial entire solutions for supercritical biharmonic equations
• Stability and intersection properties of solutions to the nonlinear biharmonic equation
• Unnamed Item

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