A deformation lemma for a Moser-Trudinger type functional Original Research Article

We consider the functional View the MathML sourceI(λ,u)=12∫Ω|∇u|2-λlog1|Ω|∫Ωeu,u∈H01(Ω). Turn MathJax on When λ=8πNλ=8πN (N any positive integer), I(λ,·)I(λ,·) admits unbounded Palais–Smale sequences. To overcome this lack of compactness, we propose a new deformation lemma.