Symmetry of extremal functions in Moser-Trudinger inequalities and a Hénon type problem in dimension two

zbMath1173.35044MaRDI QIDQ955885

Denis Bonheure, Enrico Serra, Massimo Tarallo

Publication date: 24 November 2008

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

symmetry propertiesMoser-Trudinger inequalitiesmaximizersHénon type problem in dimension two

Mathematics Subject Classification ID

Variational inequalities (49J40) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (11)

Schrödinger equations in \(\mathbb{R}^2\) with critical exponential growth and concave nonlinearities ⋮ A Trudinger-Moser inequality for a conical metric in the unit ball ⋮ Elliptic systems of Hénon type involving one-sided critical growth ⋮ On extremals for the Trudinger-Moser inequality with vanishing weight in the N-dimensional unit ball ⋮ A note on the radial solutions for the supercritical Hénon equation ⋮ Trudinger-Moser type inequalities with vanishing weights in the unit ball ⋮ Trudinger-Moser inequalities involving fast growth and weights with strong vanishing at zero ⋮ Blow-up analysis involving isothermal coordinates on the boundary of compact Riemann surface ⋮ A sharp Hardy-Sobolev inequality with boundary term and applications ⋮ Quantitative symmetry breaking of groundstates for a class of weighted Emden–Fowler equations ⋮ Nonradial maximizers for a Hénon type problem and symmetry breaking bifurcations for a Liouville-Gel'fand problem with a vanishing coefficient

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