Positive solutions of a semilinear elliptic equation with singular nonlinearity

DOI10.1016/j.jmaa.2005.10.035zbMath1139.35344OpenAlexW2001694738MaRDI QIDQ852741

Hongxia Guo, Zongming Guo, Ke Li

Publication date: 15 November 2006

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.2005.10.035

zbMATH Keywords

uniquenesssemilinear elliptic equationssky states

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (6)

On the Cauchy problem for a reaction-diffusion equation with a singular nonlinearity ⋮ Liouville type results for a \(p\)-Laplace equation with negative exponent ⋮ Rupture solutions of an elliptic equation with a singular nonlinearity ⋮ Positive solutions of an elliptic equation with negative exponent: stability and critical power ⋮ On the structure of positive solutions to an elliptic problem with a singular nonlinearity ⋮ Convergence rate for a semilinear parabolic equation with a singular nonlinearity

Cites Work

• Positive single rupture solutions to a semilinear elliptic equation
• Linear stability of steady states for thin film and Cahn-Hilliard type equations
• Quasilinear Dirichlet problems driven by positive sources
• Finite-time blow-up of solutions of some long-wave unstable thin film equations
• Positive solutions of super-critical elliptic equations and asymptotics
• On the Infinitely Many Solutions of a Semilinear Elliptic Equation
• Nonlinear stability of evaporating/condensing liquid films
• Long-wave instabilities and saturation in thin film equations
• FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS
• Properties of steady states for thin film equations

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