Articles with "equation unbounded" as a keyword



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Existence of solutions for a fractional equation in an unbounded domain

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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,… read more here.

Keywords: unbounded domain; solutions fractional; existence solutions; fractional equation ... See more keywords