Nondegeneracy of the entire solution for the n-Laplace Hénon equation of Liouville type-Reference-Cited by-同舟云学术

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Nondegeneracy of the entire solution for the n-Laplace Hénon equation of Liouville type

Published:2023-09-30 Issue:3 Volume:24 Page:217-222
ISSN:1454-9069
Container-title:Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information Science
language:
Short-container-title:Proc. Rom. Acad. Ser. A - Math. Phys. Tech. Sci. Inf. Sci.

Author:

BARAKET Sami^ORCID, ,CHETOUANE Rima,MTIRI Foued^ORCID, ,

Abstract

"Motivated by the work of Takahashi [10], we establish nondegeneracy of the explicit family of solutions of the n-Laplace H´enon equation of Liouville type on the whole space."

Publisher

Editura Academiei Romane

Subject

General Computer Science,General Mathematics,General Engineering,General Physics and Astronomy

Reference10 articles.

1. "1. S. BARAKET, F. PACARD, Construction of singular limits for a semilinear elliptic equation in dimension, Calc. Var. P.D.E., 6, pp. 1-38, 1998.

2. 2. W.X. CHEN, C. LI, Classification of solutions of some nonlinear elliptic equations, Duke Math. J., 63, 3, pp. 615-622, 1991.

3. 3. M. DEL PINO, P. ESPOSITO, M. MUSSO, Nondegeneracy of entire solutions of a singular Liouville equation, Proc. Am. Math. Soc., 140, pp. 581-588, 2012.

4. 4. P. ESPOSITO, Isolated singularities for the n-Liouville equation, Calc. Var. Partial Differential Equations, 60, 4, art. 137, 2021.

5. 5. P. ESPOSITO, A classification result for the quasi-linear Liouville equation, Ann. Inst. H. Poincare C Anal. Non Lineaire, 35, 3, pp. 781-801, 2018.

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