ESTIMATES OF VARIATIONAL EIGENVALUES ON METRIC MEASURE SPACES

Abstract In the article, we study variational eigenvalues on doubling metric measure spaces. We prove the existence of minimizers of variational Neumann ( p , q )-eigenvalues on metric measure spaces, and on this base, we obtain estimates of Neumann eigenvalues.

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Publication Details

Journal
Journal of Mathematical Sciences
Published
2025-09-03
DOI
https://doi.org/10.1007/s10958-025-07910-1
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

ESTIMATES OF VARIATIONAL EIGENVALUES ON METRIC MEASURE SPACES

Prashanta Garain, Alexander Ukhlov
Journal of Mathematical Sciences
Geometric Analysis and Curvature Flows
article

ESTIMATES OF VARIATIONAL EIGENVALUES ON METRIC MEASURE SPACES

Prashanta Garain, Alexander Ukhlov
article en

Abstract

Abstract In the article, we study variational eigenvalues on doubling metric measure spaces. We prove the existence of minimizers of variational Neumann ( p , q )-eigenvalues on metric measure spaces, and on this base, we obtain estimates of Neumann eigenvalues.

Journal of Mathematical Sciences
Ben-Gurion University of the Negev (IL), Indian Institute of Science Education and Research Berhampur (IN)
Ben-Gurion University of the Negev, Indian Institute of Science Education and Research Mohali
Openalex Percentile: Top 66%
Geometric Analysis and Curvature Flows
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