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Published in 2020 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5121762
Abstract: This paper focuses on the scalar field equation Dx2αu−νu−uyy=f(u), where α ∈ (0, 1), (x,y)∈RN×(−L,L)⊂RN+1, with N ≥ 1 and Dx2α stands for the fractional Laplacian. By using several variational methods, we establish the existence,…
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Keywords:
unbounded domain;
solutions fractional;
existence solutions;
fractional equation ... See more keywords