Palais-Smale sequence relative to the Trudinger-Moser inequality
type: Item
instance of: scholarly article
title: Palais-Smale sequence relative to the Trudinger-Moser inequality
zbMATH Open document ID: 1028.58016
author: Hiroshi Ohtsuka
author: Takashi Suzuki
published in: Calculus of Variations and Partial Differential Equations
publication date: 2003-08-21T00:00:00Z
review text: The paper studies a variational approach for elliptic equations with exponential nonlinearities which can be written as the Euler-Lagrange equations of smooth functionals on \(H^1(\Omega)\), where \(\Omega\) is a bounded domain in \(\mathbb{R}^2\). Precisely, it is investigated the behavior of Palais-Smale sequences for the involved functionals showing that they concentrate to finite points if they are not compact in \(H^1(\Omega)\). The optimality of the imposed assumptions is also discussed.
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 1969060
zbMATH Keywords: Palais-Smale sequence
zbMATH Keywords: elliptic boundary value problem
zbMATH Keywords: exponential nonlinearity
zbMATH Keywords: Euler-Lagrange equations
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1969060