Labropoulos, Nikos2022-06-032022-06-032017-06-23Labropoulos, N. (2017). An alternative approach to critical PDEs. Electronic Journal of Differential Equations, 2017(150), pp. 1-12.1072-6691https://hdl.handle.net/10877/15843In this article, we use an alternative method to prove the existence of an infinite sequence of distinct, non-radial nodal G-invariant solutions for critical nonlinear elliptic problems defined in the whole the Euclidean space. Our proof is via approximation of the problem on symmetric bounded domains. The base model problem of interest originating from Physics is stated below: -∆u = |u|4/n-2u, u ∈ C2 (ℝn), n ≥ 3.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalLaplacianNon-radial solutionCritical exponentArticle