Point Rupture Solutions of a Class of Quasi-linear Elliptic Equations

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DOI: 10.22606/aan.2018.31001

Author(s)

Attou A. Miloua^*
Department of Mathematics, CalU, California, PA, 15419

Abstract

Keywords

Thin film, point rupture solution, radial solution, singular elliptic equation, quasilinear elliptic equation.

References

[1] Francesca Gladiali and Marco Squassina. On Explosive Solutions for a Class of Quasi-linear Elliptic Equations. Advanced Nonlinear Studies, 13:663–698, 2013.

[2] Zongming Guo, Dong Ye, and Feng Zhou. Existence of singular positive solutions for some semilinear elliptic equations. Pacific J. Math., 236(1):57–71, 2008.

[3] Huiqiang Jiang. Energy minimizers of a thin film equation with Born repulsion force. Commun. Pure Appl. Anal., 10(2):803–815, 2011.

[4] Huiqiang Jiang and Fanghua Lin. Zero set of soblev functions with negative power of integrability. Chinese Ann. Math. Ser. B, 25(1):65–72, 2004.

[5] Huiqiang Jiang and Attou Miloua. Point rupture solutions of a singular elliptic equation. Electronic Journal of Differential Equations, 2013(70):1–8, 2013.

[6] Huiqiang Jiang and Wei-Ming Ni. On steady states of van der Waals force driven thin film equations. European J. Appl. Math., 18(2):153–180, 2007.

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