Curvature effect in the spinorial Yamabe problem on product manifolds

DOI10.1007/s00526-022-02303-7OpenAlexW4291510849WikidataQ114017798 ScholiaQ114017798MaRDI QIDQ2165648

Publication date: 22 August 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-022-02303-7

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational principles in infinite-dimensional spaces (58E30) PDEs in connection with quantum mechanics (35Q40) Spin and Spin({}^c) geometry (53C27) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) PDEs on manifolds (35R01)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Mass endomorphism, surgery and perturbations
Saddle points and multiple solutions of differential equations
Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds
The concentration-compactness principle in the calculus of variations. The locally compact case. II
A spinorial analogue of Aubin's inequality
Multipeak solutions for some singularly perturbed nonlinear elliptic problems on Riemannian manifolds
The role of the scalar curvature in a nonlinear elliptic problem on Riemannian manifolds
The Dirac spectrum
The smallest Dirac eigenvalue in a spin-conformal class and cmc immersions
A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
Critical point theorems for indefinite functionals
A spin-conformal lower bound of the first positive Dirac eigenvalue
Harmonic spinors
Stationary states of the nonlinear Dirac equation: A variational approach
Stationary solutions for the 2D critical Dirac equation with Kerr nonlinearity
Singularly perturbed nonlinear elliptic problems on manifolds
Ground state Dirac bubbles and Killing spinors
On Strongly Indefinite Functionals with Applications
Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
Deformation theorems on non-metrizable vector spaces and applications to critical point theory
An obstruction for the mean curvature of a conformal immersion 𝑆ⁿ→ℝⁿ⁺¹
The Yamabe problem
Symmetric solutions for a 2D critical Dirac equation
Riemannian geometry and geometric analysis
A variational analysis of the spinorial Yamabe equation on product manifolds

This page was built for publication: Curvature effect in the spinorial Yamabe problem on product manifolds