Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space
By Alexander Quaas, Aliang Xia. 2015
84 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/b9b9b69f4a5751c703be91c6cde78c652f3d2b62
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In Applied Mathematics
- Serena Dipierro
- Enrico Valdinoci
- Wei Dai
- Zhaoli Liu
- Nicola Soave
- G. Lu
- P. Garain
- Vicentiu D. Rădulescu
In Computational Theory and Mathematics
- Serena Dipierro
- Enrico Valdinoci
- Zhaoli Liu
- Nicola Soave
- G. Lu
- Wei Dai
- Vicentiu D. Rădulescu
- Binlin Zhang
Citations in the corpus
- On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results (2016, background): “In striking contrast, if Ω is unbounded, but different from the whole space, very few results are available, all concerning the particular case of the half-space Ω = R+ , see [24, 35], or the one of exterior sets, see [33, 34, 44].”
- Liouville Type Theorems for PDE and IE Systems Involving Fractional Laplacian on a Half Space (2017, background): “Second, we must restrict the exponents p, q to subcritical and critical cases in Corollary 4, nevertheless, p, q are allowed to go beyond the lower bound n−1 n−1−α in [26].”