Existence and Boundary Behavior of Positive Solutions of Quasi-linear Elliptic Singular Equations with a Gradient Term

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Volume 27, Issue 4

Junli Yuan & Zuodong Yang

DOI: 10.4208/jpde.v27.n4.3

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.

Keywords

Existence quasi-linear elliptic equation super-solution sub-solution

AMS Subject Headings

35J65, 35B25

Email address

yuanjunli@ntu.edu.cn (Junli Yuan)

zdyang_jin@263.net (Zuodong Yang)

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@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.

Yuan , Junli and Yang , Zuodong. (2014). 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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