The regularity and stability of solutions to semilinear fourth-order elliptic problems with negative exponents

DOI10.1017/S0308210515000426zbMath1338.35191MaRDI QIDQ2799616

Baishun Lai

Publication date: 13 April 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityregularitybiharmonic equationentire solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Weak solutions to PDEs (35D30) Higher-order elliptic equations (35J30) Entire solutions to PDEs (35B08) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (6)

Stability for entire radial solutions to the biharmonic equation with negative exponents ⋮ A local pointwise inequality for a biharmonic equation with negative exponents ⋮ A new proof of Dávila-Flores-Guerra's result on existence of singular solutions ⋮ A critical \(p\)-biharmonic system with negative exponents ⋮ Unnamed Item ⋮ Recent progress on stable and finite Morse index solutions of semilinear elliptic equations

Cites Work

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• On a Fourth Order Nonlinear Elliptic Equation with Negative Exponent
• Revisiting the biharmonic equation modelling electrostatic actuation in lower dimensions
• Nonlinear non-local elliptic equation modelling electrostatic actuation
• Stable Solutions for the Bilaplacian with Exponential Nonlinearity

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