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
Bifurcation results for problems with fractional Trudinger-Moser nonlinearity
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DOI: 10.3934/dcdss.2018031
Abstract: By using a suitable topological argument based on cohomological linking and by exploiting a Trudinger-Moser inequality in fractional spaces recently obtained, we prove existence of multiple solutions for a problem involving the nonlinear fractional laplacian… read more here.
Keywords: bifurcation results; nonlinearity; moser; trudinger moser ... See more keywords