Conformal composition operators with applications to Dirichlet eigenvalues

C. Deneche; V. Pchelintsev

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arXiv · 2512.11380

Conformal composition operators with applications to Dirichlet eigenvalues

C. Deneche·V. Pchelintsev

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Abstract

This paper is concerned with spectral estimates for the first Dirichlet eigenvalue of the degenerate $p$-Laplace operator in bounded simply connected domains $\Omega \subset \mathbb C$. The proposed approach relies on the conformal analysis of the elliptic operators, which allows us to obtain spectral estimates in domains with non-rectifiable boundaries.

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C. Deneche, V. Pchelintsev. 2025-12-12. Conformal composition operators with applications to Dirichlet eigenvalues. https://arxiv.org/abs/2512.11380

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