Extremal functions of Moser-Trudinger inequality involving Finsler-Laplacian

DOI10.3934/cpaa.2018110zbMath1395.35006OpenAlexW2806673865WikidataQ129687131 ScholiaQ129687131MaRDI QIDQ1660056

Chunqin Zhou, Changliang Zhou

Publication date: 23 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018110

zbMATH Keywords

blow up analysisFinsler metricMoser-Trudinger inequalityFinsler-Laplaciansharp geometric inequality

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (6)

Finsler Trudinger-Moser inequalities on \(\mathbb{R}^2\) ⋮ Extremal sections for a Trudinger-Moser functional on vector bundle over a closed Riemann surface ⋮ Best constants and existence of maximizers for anisotropic weighted Moser-Trudinger inequalities in \(\mathbb{R}^N\) ⋮ Anisotropic Moser-Trudinger inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\) ⋮ Moser-Trudinger inequality involving the anisotropic Dirichlet norm \((\int_\Omega F^N(\nabla u) d x)^{\frac{1}{N}}\) on \(W_0^{1, N}(\Omega)\) ⋮ Anisotropic Moser-Trudinger inequality involving \(L^n\) norm

Cites Work

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• On The Dirichletproblem for Quasilinear Equations
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• A uniqueness proof for the Wulff Theorem
• Extremal functions for Moser’s inequality

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