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Large solutions to semilinear elliptic e...

Bandle, Catherine...

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Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity by Bandle, Catherine ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	14-04-2009
Summary	On a bounded smooth domain we study solutions of a semilinear elliptic equation with an exponential nonlinearity and a Hardy potential depending on the distance to the boundary of the domain. We derive global a priori bounds of the Keller-Osserman type. Using a Phragmen-Lindelof alternative for generalized sub and super-harmonic functions we discuss existence, nonexistence and uniqueness of so-called large solutions, i.e., solutions which tend to infinity at the boundary. The approach develops the one used by the same authors for a problem with a power nonlinearity instead of the exponential nonlinearity.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/0904.2072

Citation

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AMA 11th EditionReferences

Bandle, Catherine. Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity. N.A. April 14, 2009. Accessed November 08, 2024. https://online.provdatabase.com/cite/2338

APA 7th EditionReferences

Bandle, Catherine. (2009). Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity. N.A. https://online.provdatabase.com/cite/2338

Chicago 17th EditionReferences

Bandle, Catherine. Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity. N.A. 2009. https://online.provdatabase.com/cite/2338

HarvardReferences

Bandle, Catherine. (2009). Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity. [Online]. N.A. Available from: https://online.provdatabase.com/cite/2338. (Accessed 08 November 2024).

Harvard AustraliaReferences

Bandle, Catherine, 2009, Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity, N.A, viewed 08 November 2024, <https://online.provdatabase.com/cite/2338>

MLA 9th EditionWorks Cited

Bandle, Catherine. Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity. N.A, 2009. PROV Database, https://online.provdatabase.com/cite/2338.

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