Asymptotics for singular solutions to conformally invariant fourth order systems in the punctured ball
JH Andrade - Journal of Differential Equations, 2024 - Elsevier
We study asymptotic profiles for singular solutions to a class of critical strongly coupled
fourth order systems on the punctured ball. Assuming a superharmonicity condition, we …
fourth order systems on the punctured ball. Assuming a superharmonicity condition, we …
On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents
W Dai, J Fu - Bulletin of Mathematical Sciences, 2022 - World Scientific
In this paper, we investigate various properties (eg nonexistence, asymptotic behavior,
uniqueness and integral representation formula) of positive solutions to nonlinear tri …
uniqueness and integral representation formula) of positive solutions to nonlinear tri …
Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator
D Yang, P Ma, X Wang, H Li - Boundary Value Problems, 2023 - Springer
We reprove a result by Bartsch, Weth, and Willem (Calc. Var. Partial Differ. Equ. 18 (3): 253–
268,) concerning the nondegeneracy of bubble solutions for a critical semilinear elliptic …
268,) concerning the nondegeneracy of bubble solutions for a critical semilinear elliptic …