Existence Results for the Conformal Dirac–Einstein System-Reference-Cited by-同舟云学术

Existence Results for the Conformal Dirac–Einstein System

Published:2020-12-15 Issue:1 Volume:21 Page:107-117
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Guidi Chiara¹,Maalaoui Ali²,Martino Vittorio¹

Affiliation:

1. Dipartimento di Matematica , Università di Bologna , piazza di Porta S.Donato 5, 40126 Bologna , Italy

2. Department of Mathematics and Natural Sciences , American University of Ras Al Khaimah , PO Box 10021 , Ras Al Khaimah , United Arab Emirates

Abstract

Abstract We consider the coupled system given by the first variation of the conformal Dirac–Einstein functional. We will show existence of solutions by means of perturbation methods.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2020-2115/pdf

Reference24 articles.

1. A. Ambrosetti and M. Badiale, Homoclinics: Poincaré–Melnikov type results via a variational approach, C. R. Acad. Sci. Paris Sér. I Math. 323 (1996), no. 7, 753–758.

2. A. Ambrosetti, J. Garcia Azorero and I. Peral, Perturbation of Δ⁢u+u(N+2)/(N-2)=0\Delta u+u^{(N+2)/(N-2)}=0, the scalar curvature problem in 𝐑N{\mathbf{R}}^{N}, and related topics, J. Funct. Anal. 165 (1999), no. 1, 117–149.

3. A. Bahri and J.-M. Coron, On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology of the domain, Comm. Pure Appl. Math. 41 (1988), no. 3, 253–294.

4. F. A. Belgun, The Einstein–Dirac equation on Sasakian 3-manifolds, J. Geom. Phys. 37 (2001), no. 3, 229–236.

5. H. Brezis and J.-M. Coron, Convergence of solutions of H-systems or how to blow bubbles, Arch. Ration. Mech. Anal. 89 (1985), no. 1, 21–56.

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