On $p$-Dirac Equation on Compact Spin Manifolds
Analysis of PDEs
2023-06-28 v1
Abstract
By using the Ljusternik-Schnirelman principle, we establish the existence of a nondecreasing sequence of nonnegative eigenvalues for the p-Dirac operator on compact spin manifold. Using the biorthogonal system theory on separable Banach space and some critical point theorems, we prove the existence and multiplicity of solutions to p-superlinear and p-sublinear nonlinear p-Dirac equations on compact spin manifold.
Keywords
Cite
@article{arxiv.2306.15257,
title = {On $p$-Dirac Equation on Compact Spin Manifolds},
author = {Lei Xian and Xu Yang},
journal= {arXiv preprint arXiv:2306.15257},
year = {2023}
}