Browsing by Author "Chen, Huyuan"
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Chen, Huyuan; Véron, Laurent; Wang, Ying (Elsevier, 2016)We study existence and uniqueness of weak solutions to (F) partial derivative(t)u+(-Delta)(alpha)u+h(t, u) = 0 in (0,infinity) xR(N), with initial condition u(0, center dot) -nu in R-N, where N >= 2, the operator (-Delta)(alpha) ...
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Chen, Huyuan; Felmer Aichele, Patricio; Quaas, Alexander (2015)In this paper, we study positive solutions to problems involving the fractional Laplacian {(-Delta)(alpha)u(x) + vertical bar u vertical bar(p-1)u(x) = 0, x is an element of Omega \ C, u(x) = 0, x is an element of ...