Alves, C. O.2018-08-282018-08-281997-08-19Alves, C. O. (1997). Multiple positive solutions for equations involving critical Sobolev exponent in RN. <i>Electronic Journal of Differential Equations, 1997</i>(13), pp. 1-10.1072-6691https://hdl.handle.net/10877/7637This article concerns with the problem <pre>−div(|∇u|^m−2 ∇u) = λhu^q + u^m*−1, in ℝ^N.</pre> <p>Using the Ekeland Variational Principle and the Mountain Pass Theorem, we show the existence of λ* > 0 such that there are at least two non-negative solutions for each λ in (0, λ*).</p>Text10 pages1 file (.pdf)enAttribution 4.0 InternationalMountain Pass TheoremEkeland Variational PrincipleArticle