Rupture solutions of an elliptic equation with a singular nonlinearity

DOI10.1017/S0308210512001151zbMath1314.35049OpenAlexW2332766801MaRDI QIDQ2935504

Wei, Juncheng, Zhongming Guo

Publication date: 30 December 2014

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

Full work available at URL: https://doi.org/10.1017/s0308210512001151

zbMATH Keywords

elliptic problemnonradial rupture solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15)

Related Items (3)

Unnamed Item ⋮ A perturbed fourth order elliptic equation with negative exponent ⋮ Radial single point rupture solutions for a general MEMS model

Cites Work

• Positive solutions of a semilinear elliptic equation with singular nonlinearity
• Asymptotic behavior of touch-down solutions and global bifurcations for an elliptic problem with a singular nonlinearity
• Existence of singular positive solutions for some semilinear elliptic equations
• Positive solutions of an elliptic equation with negative exponent: stability and critical power
• Semilinear elliptic equations and supercritical growth
• On the Cauchy problem for a reaction-diffusion equation with a singular nonlinearity
• Properties of positive solutions to an elliptic equation with negative exponent
• Hausdorff dimension of rupture sets and removable singularities
• Non-radial singular solutions of Lane-Emden equations in $R^N$
• COMPACTNESS OF A NONLINEAR EIGENVALUE PROBLEM WITH A SINGULAR NONLINEARITY
• On steady states of van der Waals force driven thin film equations
• Compactness along the branch of semistable and unstable solutions for an elliptic problem with a singular nonlinearity
• Symmetry of non-negative solutions of a semilinear elliptic equation with singular nonlinearity

This page was built for publication: Rupture solutions of an elliptic equation with a singular nonlinearity