[HTML][HTML] Characterization of the Palais–Smale sequences for the conformal Dirac–Einstein problem and applications

A Maalaoui, V Martino - Journal of Differential Equations, 2019 - Elsevier
In this paper we study the Palais–Smale sequences of the conformal Dirac–Einstein
problem. After we characterize the bubbling phenomena, we prove an Aubin type result …

Conformal Dirac–Einstein equations on manifolds with boundary.

W Borrelli, A Maalaoui, V Martino - Calculus of Variations and Partial …, 2023 - Springer
In this paper we study Dirac–Einstein equations on manifolds with boundary, restricted to a
conformal class with constant boundary volume, under chiral bag boundary conditions for …

Existence results for a super-Liouville equation on compact surfaces

A Jevnikar, A Malchiodi, R Wu - Transactions of the American Mathematical …, 2020 - ams.org
We are concerned with a super-Liouville equation on compact surfaces with genus larger
than one, obtaining the first non-trivial existence result for this class of problems via min-max …

Compactness of Dirac–Einstein spin manifolds and horizontal deformations

A Maalaoui, V Martino - The Journal of Geometric Analysis, 2022 - Springer
In this paper, we consider the Hilbert–Einstein–Dirac functional, whose critical points are
pairs, metrics-spinors, that satisfy a system coupling the Riemannian and the spinorial part …

Morse–Floer theory for superquadratic Dirac equations, I: relative Morse indices and compactness

T Isobe - Journal of Fixed Point Theory and Applications, 2017 - Springer
In this paper and its sequel (Isobe in Morse–Floer theory for superquadratic Dirac equations,
II: construction and computation of Morse–Floer homology, 2016), we study Morse–Floer …

Existence results for the conformal Dirac–Einstein system

C Guidi, A Maalaoui, V Martino - Advanced Nonlinear Studies, 2021 - degruyter.com
Existence Results for the Conformal Dirac–Einstein System Skip to content Should you have
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Morse–Floer theory for superquadratic Dirac equations, II: construction and computation of Morse–Floer homology

T Isobe - Journal of Fixed Point Theory and Applications, 2017 - Springer
We give a construction and computation of Morse–Floer homology for a class of
superquadratic Dirac functionals defined on the set of spinors on a compact spin manifold …

Homological approach to problems with jumping non-linearity

A Maalaoui, V Martino - Nonlinear Analysis, 2016 - Elsevier
Homological approach to problems with jumping non-linearity - ScienceDirect Skip to main
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Solutions of Dirac equations on compact spin manifolds via saddle point reduction

X Yang, R Jin, G Lu - Journal of Fixed Point Theory and Applications, 2017 - Springer
Solutions of Dirac equations on compact spin manifolds via saddle point reduction |
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Existence results for coupled Dirac systems via Rabinowitz-Floer theory

W Gong, G Lu - arXiv preprint arXiv:1511.06829, 2015 - arxiv.org
In this paper, we construct the Rabinowitz-Floer homology for the coupled Dirac
system\begin {equation*}\left\{\begin {aligned} Du=\frac {\partial H}{\partial v}(x, u, v)\hspace …