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math.AP2016★ 11 cited
Profile of solutions for nonlocal equations with critical and supercritical nonlinearities
Mousomi Bhakta, Debangana Mukherjee, Sanjiban Santra
We study the fractional laplacian problem (-Δ)^s u &=& u^p -εu^q \quad\text{in }\quad Ω, u &\in& H^s(Ω)\cap L^{q+1}(Ω),u &>&0 \quad\text{in }\quad Ω, u&=&0 \quad\text{in}\quad \mat…
math.AP2016
On singular equations with critical and supercritical exponents
Mousomi Bhakta, Sanjiban Santra
We study the problem \begin{equation*} (I_ε) \left\{\begin{aligned} -Δu- \frac{μu}{|x|^2}&=u^p -εu^q \quad\text{in }\quad Ω, \\ u&>0 \quad\text{in }\quad Ω, \\ u &\in H^1_0(Ω)\cap…