NON-DEGENERACY FOR THE CRITICAL LANE-EMDEN SYSTEM

Frank, Rupert L. ; Kim, Seunghyeok und Pistoia, Angela (2021): NON-DEGENERACY FOR THE CRITICAL LANE-EMDEN SYSTEM. In: Proceedings of the American Mathematical Society, Bd. 149, Nr. 1: S. 265-278

Abstract

We prove the non-degeneracy for the critical Lane-Emden system -Delta U = V-p, -Delta V = U-q, U, V > 0 in R-N for all N >= 3 and p, q > 0 such that 1/p+1 + 1/q+1 = N-2/N. We show that all solutions to the linearized system around a ground state must arise from the symmetries of the critical Lane-Emden system provided that they belong to the corresponding energy space or they tend to zero at infinity.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Analysis, Mathematische Physik und Numerik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0002-9939
• Sprache: Englisch