We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator.
- Authors
Yang, Dandan; Ma, Pei; Wang, Xiaohuan; Li, Hongyi
- Abstract
We reprove a result by Bartsch, Weth, and Willem (Calc. Var. Partial Differ. Equ. 18(3):253–268, 2003) concerning the nondegeneracy of bubble solutions for a critical semilinear elliptic equation involving the polyharmonic operator. The merit of our proof is that it does not rely on the comparison theorem. The argument of our proof mainly uses the stereographic projection with the Funk–Hecke formula, which works for general critical semilinear elliptic equations.
- Subjects
SEMILINEAR elliptic equations; SPHERICAL projection; EQUATIONS; SPHERICAL harmonics
- Publication
Boundary Value Problems, 2023, Vol 2023, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-023-01709-2