An alternative approach to critical PDEs
Date
2017-06-23
Authors
Labropoulos, Nikos
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Laplacian, Non-radial solution, Critical exponent
Citation
Labropoulos, N. (2017). An alternative approach to critical PDEs. Electronic Journal of Differential Equations, 2017(150), pp. 1-12.
Rights
Attribution 4.0 International