Classification of positive D1,p(RN)-solutions to the critical p-Laplace equation in RN☆

By Berardino Sciunzi. 2015

80 citations recorded by the source corpus.

Abstract We provide the classification of the positive solutions to − Δ p u = u p ⁎ − 1 in D 1 , p ( R N ) in the case 2 p N . Since the case 1 p ≤ 2 is already known this provides the complete classification for 1 p N .

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e0382517fc57fcfd573ec7714c7e07731d67d8e4

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In Applied Mathematics

1. Alessio Figalli
2. Giulio Ciraolo
3. A. Roncoroni
4. Guido De Philippis
5. Max Fathi
6. Dario Trevisan
7. Robert J. McCann
8. N. Fusco

In Mathematical Physics

1. Giulio Ciraolo
2. A. Roncoroni
3. Alessio Figalli

Citations in the corpus

• Symmetry results for critical anisotropic p-Laplacian equations in convex cones (2019, methodology): “Recently, in [39] and [33], positive solutions to (1.”