Improved Moser-Trudinger Inequality Involving Lp Norm in n Dimensions

DOI10.1515/ans-2014-0202zbMath1315.35012OpenAlexW2187684722MaRDI QIDQ2923136

Jiuyi Zhu

Publication date: 15 October 2014

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2014-0202

zbMATH Keywords

extremal functionblow-up analysisMoser-Trudinger inequality\(n\)-Laplacian

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) 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 (29)

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Cites Work

• Unnamed Item
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Global compactness properties of semilinear elliptic equations with critical exponential growth
• A Moser-Trudinger inequality on the boundary of a compact Riemann surface
• Local behavior of solutions of quasi-linear equations
• Extremal functions for the Moser-Trudinger inequalities on compact Riemannian manifolds
• Best constants for Moser-Trudinger inequalities on the Heisenberg group
• On Nonuniformly Subelliptic Equations of Q−sub-Laplacian Type with Critical Growth in the Heisenberg Group

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