SYMMETRY BREAKING RESULTS FOR PROBLEMS WITH EXPONENTIAL GROWTH IN THE UNIT DISK

DOI10.1142/S0219199706002295zbMath1197.35108arXivmath/0504270OpenAlexW2053326875MaRDI QIDQ3421626

Enrico Serra, Simone Secchi

Publication date: 7 February 2007

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504270

zbMATH Keywords

Trudinger-Moser inequalitySymmetry breaking

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

The Hénon equation with a critical exponent under the Neumann boundary condition ⋮ Elliptic systems of Hénon type involving one-sided critical growth ⋮ On the Hénon equation with a Neumann boundary condition: asymptotic profile of ground states ⋮ Hénon equation involving nearly critical Sobolev exponent in a general domain ⋮ A note on the radial solutions for the supercritical Hénon equation ⋮ The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues ⋮ On Trudinger-Moser type inequalities with logarithmic weights ⋮ Nonradial maximizers for a Hénon type problem and symmetry breaking bifurcations for a Liouville-Gel'fand problem with a vanishing coefficient

Cites Work

• Unnamed Item
• Extremal functions for the Trudinger-Moser inequality in 2 dimensions
• Partial symmetry and asymptotic behavior for some elliptic variational problems
• A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
• \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
• Non radial positive solution for the Hénon equation with critical growth
• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION

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