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Critical growth fractional systems with exponential nonlinearity
Jacques Giacomoni, Pawan Kumar Mishra, Konijeti Sreenadh
We study the existence of positive solutions for the system of fractional elliptic equations of the type, \begin{equation*} \begin{array}{rl} (-Δ)^{\frac{1}{2}} u &=\frac{p}{p+q}λf…
Critical exponent for half-Laplacian in the whole space
Jacques Giacomoni, Pawan Mishra, Konijeti Sreenadh
We study the existence of {weak} solutions for fractional elliptic equations of the type, \begin{equation*} (-Δ)^{\frac{1}{2}} u+ V(x) u= h(u), u> 0 \;\textrm{in} \;\mathbb R, \end…
Existence and multiplicity results for fractional -Kirchhoff equation with sign changing nonlinearities
Pawan Kumar Mishra, K. Sreenadh
In this paper, we show the existence and multiplicity of nontrivial, non-negative solutions of the fractional -Kirchhoff problem \begin{equation*} \begin{array}{rllll} M\left(\d…