Zobrazeno 1 - 10
of 31
pro vyhledávání: '"GIRI, Ratan Kr."'
We study an {\it indefinite weighted eigenvalue problem} for an operator of {\it mixed-type} (that includes both the classical {\it $p$-Laplacian} and the {\it fractional $p$-Laplacian}) in a bounded open subset $\Omega\subset \mathbb{R}^N \,(N\geq2)
Externí odkaz:
http://arxiv.org/abs/2409.01349
Autor:
Giri, Ratan Kr., Pinchover, Yehuda
Using Harnack's inequality and a scaling argument we study Liouville-type theorems and the asymptotic behaviour of positive solutions near an isolated singular point $\zeta \in \partial\Omega\cup\{\infty\}$ for the quasilinear elliptic equation $$-\t
Externí odkaz:
http://arxiv.org/abs/2204.08061
We study a generalized class of supersolutions, so-called $p$-supercaloric functions, to the parabolic $p$-Laplace equation. This class of functions is defined as lower semicontinuous functions that are finite in a dense set and satisfy the parabolic
Externí odkaz:
http://arxiv.org/abs/2008.12540
Autor:
Giri, Ratan Kr., Pinchover, Yehuda
We study Liouville-type theorems and the asymptotic behaviour of positive solutions near an isolated singular point $\zeta\in\partial\Omega\cup\{\infty\}$ of the quasilinear elliptic equations $$-\text{div}(|\nabla u|_A^{p-2}A\nabla u)+V|u|^{p-2}u =0
Externí odkaz:
http://arxiv.org/abs/2007.02254
Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity
Publikováno v:
Complex Variables and Elliptic Equations (2020), pp. 1-21
We prove the existence of infinitely many nonnegative solutions to the following nonlocal elliptic partial differential equation involving singularities \begin{align} (-\Delta)_{p(\cdot)}^{s} u&=\frac{\lambda}{|u|^{\gamma(x)-1}u}+f(x,u)~\text{in}~\Om
Externí odkaz:
http://arxiv.org/abs/2006.00260
The aim of this paper is to deal with the elliptic pdes involving a nonlinear integrodifferential operator, which are possibly degenerate and covers the case of fractional $p$-Laplacian operator. We prove the existence of a solution in the weak sense
Externí odkaz:
http://arxiv.org/abs/1707.03636
Autor:
Giri, Ratan Kr., Pradhan, Shesadev
Here, the composition operators on Orlicz spaces with finite ascent and descent as well as infinite ascent and descent are characterized.
Externí odkaz:
http://arxiv.org/abs/1606.04314
Existence and Concentration Solutions for a class of elliptic PDEs involving $p$-biharmonic Operator
In this paper, we propose an existence result pertaining to a nontrivial solution to the problem \begin{align*} \Bigg\{\begin{split} & \Delta^2_p u -\Delta_p u + \lambda V(x)|u|^{p-2}u = f(x,u)\,,\,x\in \mathbb{R}^N, & u \in W^{2,p}(\mathbb{R}^N), \e
Externí odkaz:
http://arxiv.org/abs/1606.02512
Autor:
Giri, Ratan Kr, Choudhuri, Debajyoti
The objective of this article is to study the boundary value problem for the general semilinear elliptic equation of second order involving $L^1$ functions or Radon measures with finite total variation. The study investigates the existence and unique
Externí odkaz:
http://arxiv.org/abs/1605.00870
Autor:
GIRI, Ratan Kr.1, CHOUDHURI, Debajyoti2 dc.iit12@gmail.com
Publikováno v:
Turkish Journal of Mathematics. 2021, Vol. 45 Issue 5, p2108-2125. 18p.
