On a class of \(N\)-dimensional anisotropic Sobolev inequalities

DOI10.1186/s13660-018-1754-3zbMath1498.49016OpenAlexW2836647681WikidataQ64950469 ScholiaQ64950469MaRDI QIDQ824653

Lirong Huang, Eugénio M. Rocha

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1754-3

zbMATH Keywords

anisotropic Sobolev inequalityminimal action solutionsmallest constant

Mathematics Subject Classification ID

Variational inequalities (49J40)

Cites Work

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• Nonlinear Schrödinger equations and sharp interpolation estimates
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Sharp constant for a 2D anisotropic Sobolev inequality with critical nonlinearity
• Solitary waves of generalized Kadomtsev-Petviashvili equations
• Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Symmetries and Decay of the Generalized Kadomtsev--Petviashvili Solitary Waves
• Solutions of the Generalized Rotation-Modified Kadomtsev-Petviashvili Equation

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