Elliptic equations strongly degenerate at a point

• Published in: Nonlinear analysis Vol. 65; no. 8; pp. 1624 - 1632
• Main Authors: Weiyue, Ding, Yongqiang, Zhao
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 15.10.2006; Elsevier
• Subjects: Exact sciences and technology; Mathematical analysis; Mathematics; Partial differential equations; Sciences and techniques of general use; Elliptic equation; Mathematical model; Nonlinear analysis; Degenerate equation

In this paper we will mainly propose some problems for a class of degenerate elliptic equations, either linear or nonlinear. We will study some special cases of these problems and reveal some phenomena which may not have been noticed previously. Our problems originated from the self-similar solution...