학술저널
A CERTAIN EXAMPLE FOR A DE GIORGI CONJECTURE
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 4
-
2014.11763 - 769 (7 pages)
- 14
In this paper, we illustrate a counter example for the converse of a certain conjecture proposed by De Giorgi. De Giorgi suggested a series of conjectures, in which a certain integral condi-tion for singularity or degeneracy of an elliptic operator is satis ed, the solutions are continuous. We construct some singular elliptic operators and solutions such that the integral condition does not hold, but the solutions are continuous.
1. Introduction
2. Preliminaries
(0)
(0)