ESTIMATES OF VARIATIONAL EIGENVALUES ON METRIC MEASURE SPACES

Prashanta Garain; Alexander Ukhlov

doi:10.1007/s10958-025-07910-1

ESTIMATES OF VARIATIONAL EIGENVALUES ON METRIC MEASURE SPACES

Prashanta Garain, Alexander Ukhlov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Journal of Mathematical Sciences (United States)
DOIs	https://doi.org/10.1007/s10958-025-07910-1
State	Accepted/In press - 1 Jan 2025

Keywords

Metric measure spaces
Neumann eigenvalues
Sobolev spaces

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/s10958-025-07910-1

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title = "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.",

keywords = "Metric measure spaces, Neumann eigenvalues, Sobolev spaces",

author = "Prashanta Garain and Alexander Ukhlov",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2025.",

year = "2025",

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doi = "10.1007/s10958-025-07910-1",

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AU - Ukhlov, Alexander

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N2 - 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.

AB - 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.

KW - Metric measure spaces

KW - Neumann eigenvalues

KW - Sobolev spaces

UR - https://www.scopus.com/pages/publications/105015052662

U2 - 10.1007/s10958-025-07910-1

DO - 10.1007/s10958-025-07910-1

M3 - Article

AN - SCOPUS:105015052662

SN - 1072-3374

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

ER -

ESTIMATES OF VARIATIONAL EIGENVALUES ON METRIC MEASURE SPACES

Abstract

Keywords

ASJC Scopus subject areas

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