Work

On $p$-Dirac Equation on Compact Spin Manifolds

Year: 2023

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2306.15257

Authors: Xian, Lei, Yang, Xu

Institution: Yunnan Normal University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4382491308

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