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Volume 27, Issue 4
Existence and Boundary Behavior of Positive Solutions of Quasi-linear Elliptic Singular Equations with a Gradient Term

Junli Yuan & Zuodong Yang

J. Part. Diff. Eq., 27 (2014), pp. 318-332.

Published online: 2014-12

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  • Abstract
Existence of positive solutions of a class of quasi-linear elliptic equationwith a gradient term is obtained by using super-solution and sub-solution method. In particular, we study the asymptotic behavior of the solution near the boundary up to the second order under various assumptions on the growth of the coefficients of the equation. The results of this paper is new and extend previously known results.
  • AMS Subject Headings

35J65, 35B25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yuanjunli@ntu.edu.cn (Junli Yuan)

zdyang_jin@263.net (Zuodong Yang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-27-318, author = {Yuan , Junli and Yang , Zuodong}, title = {Existence and Boundary Behavior of Positive Solutions of Quasi-linear Elliptic Singular Equations with a Gradient Term}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {4}, pages = {318--332}, abstract = { Existence of positive solutions of a class of quasi-linear elliptic equationwith a gradient term is obtained by using super-solution and sub-solution method. In particular, we study the asymptotic behavior of the solution near the boundary up to the second order under various assumptions on the growth of the coefficients of the equation. The results of this paper is new and extend previously known results.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n4.3}, url = {http://global-sci.org/intro/article_detail/jpde/5145.html} }
TY - JOUR T1 - Existence and Boundary Behavior of Positive Solutions of Quasi-linear Elliptic Singular Equations with a Gradient Term AU - Yuan , Junli AU - Yang , Zuodong JO - Journal of Partial Differential Equations VL - 4 SP - 318 EP - 332 PY - 2014 DA - 2014/12 SN - 27 DO - http://doi.org/10.4208/jpde.v27.n4.3 UR - https://global-sci.org/intro/article_detail/jpde/5145.html KW - Existence KW - quasi-linear elliptic equation KW - super-solution KW - sub-solution AB - Existence of positive solutions of a class of quasi-linear elliptic equationwith a gradient term is obtained by using super-solution and sub-solution method. In particular, we study the asymptotic behavior of the solution near the boundary up to the second order under various assumptions on the growth of the coefficients of the equation. The results of this paper is new and extend previously known results.
Junli Yuan & Zuodong Yang. (2019). Existence and Boundary Behavior of Positive Solutions of Quasi-linear Elliptic Singular Equations with a Gradient Term. Journal of Partial Differential Equations. 27 (4). 318-332. doi:10.4208/jpde.v27.n4.3
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