An alternative approach to critical PDEs

Date

2017-06-23

Authors

Labropoulos, Nikos

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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. <i>Electronic Journal of Differential Equations, 2017</i>(150), pp. 1-12.

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Attribution 4.0 International

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