Isolated singularities for the exponential type semilinear elliptic equation in

Authors:
R. Dhanya, J. Giacomoni and S. Prashanth

Journal:
Proc. Amer. Math. Soc. **137** (2009), 4099-4107

MSC (2000):
Primary 35B32, 35B65, 35J25, 35J60

Published electronically:
July 15, 2009

MathSciNet review:
2538571

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Abstract | References | Similar Articles | Additional Information

Abstract: In this article we study positive solutions of the equation in a punctured domain in and show sharp conditions on the nonlinearity that enables us to extend such a solution to the whole domain and also preserve its regularity. We also show, using the framework of bifurcation theory, the existence of at least two solutions for certain classes of exponential type nonlinearities.

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Additional Information

**R. Dhanya**

Affiliation:
Tata Institute of Fundamental Research, Center for Applicable Mathematics, P.B. No. 6503, Sharadanagar, Chikkabommasandra, Bangalore 560065, India

Email:
dhanya@math.tifrbng.res.in

**J. Giacomoni**

Affiliation:
Laboratoire de Mathématiques Appliquées, Université de Pau et des Pays de l’Adour, B.P. 576, 64012 Pau cedex, France

Email:
jgiacomo@univ-pau.fr

**S. Prashanth**

Affiliation:
Tata Institute of Fundamental Research, Center for Applicable Mathematics, P.B. No. 6503, Sharadanagar, Chikkabommasandra, Bangalore 560065, India

Email:
pras@math.tifrbng.res.in

DOI:
http://dx.doi.org/10.1090/S0002-9939-09-09988-2

Keywords:
Isolated singularity,
blow-up,
Laplace equation.

Received by editor(s):
September 30, 2008

Published electronically:
July 15, 2009

Communicated by:
Matthew J. Gursky

Article copyright:
© Copyright 2009
American Mathematical Society