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Volume 10, Issue 3
On the Existence of Positive Solutions for a Class of Semilinear Elliptic Systems

Zongming Guo

J. Part. Diff. Eq., 10 (1997), pp. 193-212.

Published online: 1997-10

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  • Abstract
We study the existence of positive solutions for a class of semilinear ellipcic systems in general domains via the blow up argument and degree theory. The main idea can be used to establish the existence of positive solutions for the Navier problems of polyharmonic semilinear equations in general domains.
  • Keywords

Semilinear elliptic systems positive solutions blow up argument degree theory polyharmonic semilinear equations

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@Article{JPDE-10-193, author = {Zongming Guo }, title = {On the Existence of Positive Solutions for a Class of Semilinear Elliptic Systems}, journal = {Journal of Partial Differential Equations}, year = {1997}, volume = {10}, number = {3}, pages = {193--212}, abstract = { We study the existence of positive solutions for a class of semilinear ellipcic systems in general domains via the blow up argument and degree theory. The main idea can be used to establish the existence of positive solutions for the Navier problems of polyharmonic semilinear equations in general domains.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5592.html} }
TY - JOUR T1 - On the Existence of Positive Solutions for a Class of Semilinear Elliptic Systems AU - Zongming Guo JO - Journal of Partial Differential Equations VL - 3 SP - 193 EP - 212 PY - 1997 DA - 1997/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5592.html KW - Semilinear elliptic systems KW - positive solutions KW - blow up argument KW - degree theory KW - polyharmonic semilinear equations AB - We study the existence of positive solutions for a class of semilinear ellipcic systems in general domains via the blow up argument and degree theory. The main idea can be used to establish the existence of positive solutions for the Navier problems of polyharmonic semilinear equations in general domains.
Zongming Guo . (1997). On the Existence of Positive Solutions for a Class of Semilinear Elliptic Systems. Journal of Partial Differential Equations. 10 (3). 193-212. doi:
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