Applications of Sub-Supersolution Theorems to Singular Nonlinear Elliptic Problems

Authors: Nguyễn Hoàng Lộc, Klaus Schmitt,

https://doi.org/10.1515/ans-2011-0302

Publisher, magazine: ,

Publication year: 2011

  Lưu        Trích dẫn         Chia sẻ

Abstract

The results presented here were motivated by several recent papers on singular boundary value problems for semilinear elliptic equations with convection terms. We present extensions which cover singular nonlinear equations (mainly equations involving the p−Laplacian) containing convection terms. The results obtained are proved using sub- and supersolution theorems (motivated by the results in [18, 19, 20, 23]) and the construction of a well-ordered pair of such using a principal eigenfunction of the p−Laplacian.

Tags: Nonlinear elliptic equations; sub- and supersolutions; singular terms; convection terms