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arXiv · 2306.15257

On $p$-Dirac Equation on Compact Spin Manifolds

Lei Xian·Xu Yang
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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.

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Lei Xian, Xu Yang. 2023-06-27. On $p$-Dirac Equation on Compact Spin Manifolds. https://arxiv.org/abs/2306.15257

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