A refinement of the first eigenvalue and eigenfunction of the linearized Moser-Trudinger problem

DOI10.1007/S10440-023-00603-4zbMath1522.35348OpenAlexW4386890783MaRDI QIDQ6057061

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Publication date: 25 October 2023

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-023-00603-4

zbMATH Keywords

asymptotic behaviorthe first eigenvaluethe first eigenfunctionthe linearized Moser-Trudinger problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15)

Cites Work

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• Beyond the Trudinger-Moser supremum
• New solutions for Trudinger-Moser critical equations in \(\mathbb R^2\)
• Extremal functions for the Trudinger-Moser inequality in 2 dimensions
• Elliptic partial differential equations of second order
• Critical points of the Moser-Trudinger functional on a disk
• Multi-bump analysis for Trudinger-Moser nonlinearities I. Quantification and location of concentration points
• The Moser-Trudinger inequality and its extremals on a disk via energy estimates
• Multibumps analysis in dimension 2: quantification of blow-up levels
• Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
• On the number of peaks of the eigenfunctions of the linearized Gel'fand problem

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