On the bifurcation results for fractional Laplace equations
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DOI: 10.1002/mana.201600250
Abstract: In this paper, we consider the bifurcation problem for the fractional Laplace equation (−Δ)su=λu+f(λ,x,u)inΩ,u=0inRn∖Ω, where Ω⊂Rn,n>2s(0 read more here.
Keywords: bifurcation results; fractional laplace; results fractional; laplace equations ... See more keywords
Bifurcation results for a fractional elliptic equation with critical exponent in $$\mathbb {R}^n$$Rn
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DOI: 10.1007/s00229-016-0878-3
Abstract: In this paper we study some nonlinear elliptic equations in $${\mathbb R}^n$$Rn obtained as a perturbation of the problem with the fractional critical Sobolev exponent, that is $$\begin{aligned} (-\Delta )^s u = \varepsilon \,h\,u_+^q + u_+^p… read more here.
Keywords: bifurcation results; fractional elliptic; results fractional; elliptic equation ... See more keywords
A critical point approach to multiplicity results for a fractional boundary value problem
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DOI: 10.1007/s40840-020-00886-y
Abstract: In this article, we establish criteria for the existence of at least three solutions of a fractional differential equation with Dirichlet boundary condition using variational methods and critical point theory. We discuss some consequences of… read more here.
Keywords: point approach; approach multiplicity; critical point; results fractional ... See more keywords
Existence results for some fractional differential equations related to A ∈ B(L2[a, b])
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DOI: 10.2298/fil2004067b
Abstract: In this paper we define the (generalized) linear Volterra integral operator on L2[a, b]. Then the problem of existence and uniqueness of solutions of the second kind Volterra integral equations, corresponding to this operator, will… read more here.
Keywords: fractional differential; equations related; differential equations; results fractional ... See more keywords
Some Further Results on the Fractional Cumulative Entropy
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DOI: 10.3390/e24081037
Abstract: In this paper, the fractional cumulative entropy is considered to get its further properties and also its developments to dynamic cases. The measure is used to characterize a family of symmetric distributions and also another… read more here.
Keywords: fractional cumulative; cumulative entropy; entropy results; entropy ... See more keywords