Solutions with isolated point ruptures for a semilinear elliptic equation in \(\mathbb{R}^ 2\) with a non-Lipschitz nonlinearity.

DOI10.1016/S0893-9659(04)90120-6zbMath1133.35356OpenAlexW2078204581MaRDI QIDQ1764549

Zongming Guo, Xing Xiao Li

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(04)90120-6

zbMATH Keywords

non-Lipschitz nonlinearityisolated ruptures

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60)

Related Items (3)

Positive singular rupture solutions to a class for quasilinear elliptic equations ⋮ On the structure of positive solutions to an elliptic problem with a singular nonlinearity ⋮ Positive single rupture solutions to a semilinear elliptic equation

Cites Work

• Removable singularities for some nonlinear elliptic equations
• Comportement asymptotique des solutions d'équations elliptiques semi-linéaires dans \(\mathbb R^ N\)
• Anisotropic singularities of solutions of nonlinear elliptic equations in \({\mathbb{R}}^ 2\)
• Singularities for a 2-dimensional semilinear elliptic equation with a non-Lipschitz nonlinearity
• Linear stability of steady states for thin film and Cahn-Hilliard type equations
• Dynamics of three-dimensional thin film rupture
• Finite-time blow-up of solutions of some long-wave unstable thin film equations
• Nonlinear stability of evaporating/condensing liquid films
• Long-wave instabilities and saturation in thin film equations
• Singular solutions of some nonlinear elliptic equations
• Properties of steady states for thin film equations
• Self-similar solutions for the anisotropic affine curve shortening problem

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