11 citations · 11 across the 4 of their papers we have counts for
5 papers · 1 filter
Positive solutions to a fractional equation with singular nonlinearity
Adimurthi, Jacques Giacomoni, Sanjiban Santra
In this paper, we study the positive solutions to the following singular and non local elliptic problem posed in a bounded and smooth domain , : % \begin{eqna…
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…
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…
New entire positive solution for the nonlinear Schrodinger equation: Coexistence of fronts and bumps
Sanjiban Santra, Juncheng Wei
In this paper we construct a new kind of positive solutions of $$\De u-u+u^{p}=0 \text{on} \R^2$$ when These solutions $\displaystyle{u(x,z)\sim \om(x-f(z))+ \sum_{i=1}^{\i…
Homoclinic solutions for fourth order traveling wave equations
Sanjiban Santra, Juncheng Wei
We consider homoclinic solutions of fourth order equations where is either the suspension bridge type or Swift-H…