Sharp constant for a 2D anisotropic Sobolev inequality with critical nonlinearity

DOI10.1016/j.jmaa.2010.02.020zbMath1226.46026OpenAlexW2010855712MaRDI QIDQ968862

Jianqing Chen, Eugénio M. Rocha

Publication date: 10 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.02.020

zbMATH Keywords

sharp constantminimal action solution2D anisotropic Sobolev inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (1)

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

Cites Work

• Unnamed Item
• On the uniform bound of solutions for the KP-type equations
• Nonlinear Schrödinger equations and sharp interpolation estimates
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Solitary waves of generalized Kadomtsev-Petviashvili equations
• Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation
• Positive solutions to a class of quasilinear elliptic equations on \(\mathbb{R}\)
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Symmetries and Decay of the Generalized Kadomtsev--Petviashvili Solitary Waves
• Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation

This page was built for publication: Sharp constant for a 2D anisotropic Sobolev inequality with critical nonlinearity