Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613740 | Journal of Mathematical Analysis and Applications | 2017 | 17 Pages |
Abstract
By Li–Yau's idea and a more precise Hardy's inequality, we obtain a new lower bound of eigenvalues for an elliptic equation with critical Hardy constant. Then using the lower bounds, we prove that there are infinitely many sign-changing solutions for a class of elliptic equation with critical Hardy constant which extends the results in Schechter and Zou (2005) [9] to the critical Hardy constant case.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shuying Tian,