full
search.png

Search

close.png

Cancel

arrow
Volume 21, Issue 3
Existence and Nonexistence of Entire Large Solutions for Some Semilinear Elliptic Equations

Dong Ye & Feng Zhou

J. Part. Diff. Eq., 21 (2008), pp. 253-262.

Published online: 2008-08

Preview Purchase PDF 1812 29611

Cited by

google scholar semantic scholar
Export citation
  • Abstract
In this note, we consider positive entire large solutions for semilinear elliptic equations Δu = ρ(x)f(u) in R^N with N ≥ 3. More precisely, we are interested in the link between the existence of entire large solution with the behavior of solution for -Δu = ρ(x) in R^N. Especially for the radial case, we try to give a survey of all possible situations under Keller-Osserman type conditions.
  • Keywords

Entire large solution existence criteria

  • AMS Subject Headings

35J60 35B05.

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JPDE-21-253, author = {Dong Ye and Feng Zhou }, title = {Existence and Nonexistence of Entire Large Solutions for Some Semilinear Elliptic Equations}, journal = {Journal of Partial Differential Equations}, year = {2008}, volume = {21}, number = {3}, pages = {253--262}, abstract = { In this note, we consider positive entire large solutions for semilinear elliptic equations Δu = ρ(x)f(u) in R^N with N ≥ 3. More precisely, we are interested in the link between the existence of entire large solution with the behavior of solution for -Δu = ρ(x) in R^N. Especially for the radial case, we try to give a survey of all possible situations under Keller-Osserman type conditions.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5281.html} }
TY - JOUR T1 - Existence and Nonexistence of Entire Large Solutions for Some Semilinear Elliptic Equations AU - Dong Ye & Feng Zhou JO - Journal of Partial Differential Equations VL - 3 SP - 253 EP - 262 PY - 2008 DA - 2008/08 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5281.html KW - Entire large solution KW - existence criteria AB - In this note, we consider positive entire large solutions for semilinear elliptic equations Δu = ρ(x)f(u) in R^N with N ≥ 3. More precisely, we are interested in the link between the existence of entire large solution with the behavior of solution for -Δu = ρ(x) in R^N. Especially for the radial case, we try to give a survey of all possible situations under Keller-Osserman type conditions.
Dong Ye and Feng Zhou . (2008). Existence and Nonexistence of Entire Large Solutions for Some Semilinear Elliptic Equations. Journal of Partial Differential Equations. 21 (3). 253-262. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard