Observations on Moser's inequality

DOI10.1007/BF00281216zbMath0687.46017MaRDI QIDQ1263043

Lambertus A. Peletier, John Bryce McLeod

Publication date: 1989

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

limiting case of the Sobolev imbedding theorem of TrudingerMoser's inequalityone-dimensional inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (10)

Uniqueness of positive solutions of a \(n\)-Laplace equation in a ball in \(\mathbb{R}^n\) with exponential nonlinearity ⋮ Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states ⋮ Microscopic asymptotics for solutions of some semilinear Elliptic equations ⋮ Limiting cases of Sobolev inequalities on stratified groups ⋮ When does a perturbed Moser-Trudinger inequality admit an extremal? ⋮ Properties of extremal functions for some nonlinear functionals on Dirichlet spaces ⋮ Concentration-compactness principle and extremal functions for a sharp Trudinger-Moser inequality ⋮ The Moser-Trudinger-Onofri inequality ⋮ Two dimensional elliptic equation with critical nonlinear growth ⋮ The cone Moser–Trudinger inequalities and applications

Cites Work

• Ground states and Dirichlet problems for \(-\Delta u=f(u)\) in \(R^ 2\)
• The critical Sobolev exponent in two dimensions
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