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pro vyhledávání: '"Chakraborty, Souptik"'
Autor:
Chakraborty, Souptik
Given $N\geq 3,$ we consider the critical Hardy-Sobolev equation $-\Delta u-\frac{\gamma}{|x|^2}u=\frac{|u|^{2^*(s)-2}u}{|x|^s}$ in $\mathbb{R}^N\setminus \{0\},$ where $0<\gamma<\gamma_{H}:=\left(\frac{N-2}{2}\right)^2,\,s\in (0,2)$ and $2^*(s)=\fra
Externí odkaz:
http://arxiv.org/abs/2403.06594
In this paper we study positive solutions to the following nonlocal system of equations: \begin{equation*} \left\{\begin{aligned} &(-\Delta)^s u = \frac{\alpha}{2_s^*}|u|^{\alpha-2}u|v|^{\beta}+f(x)\;\;\text{in}\;\mathbb{R}^{N}, &(-\Delta)^s v = \fra
Externí odkaz:
http://arxiv.org/abs/2010.05305
The paper deals with existence and multiplicity of positive solutions to nonlocal equations with critical Hrardy-Sobolev nonlinearities and external terms. We establish the profile decomposition of the Palais-Smale sequences associated with the funct
Externí odkaz:
http://arxiv.org/abs/2008.01118
This paper deals with existence of a nontrivial positive solution to systems of equations involving nontrivial nonhomogeneous terms and critical or subcritical nonlinearities. Via a minimization argument we prove existence of a positive solution whos
Externí odkaz:
http://arxiv.org/abs/2003.03067
We study existence and multiplicity of positive solutions of the following class of nonlocal scalar field equations: \begin{equation} \tag{$\mathcal{P}$} \left\{\begin{aligned} (-\Delta)^s u + u &= a(x) |u|^{p-1}u+f(x)\;\;\text{in}\;\mathbb{R}^{N}, u
Externí odkaz:
http://arxiv.org/abs/1910.07919
Autor:
Bhakta, Mousomi1 (AUTHOR), Chakraborty, Souptik1 (AUTHOR), Ganguly, Debdip2 (AUTHOR) debdipmath@gmail.com
Publikováno v:
Mathematische Nachrichten. Sep2023, Vol. 296 Issue 9, p3816-3855. 40p.
Publikováno v:
Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 1086-1116 (2021)
This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity:
Externí odkaz:
https://doaj.org/article/2a2d12a47f3e48ca9c61091dc74830e5
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