270 citations · 293 across the 10 of their papers we have counts for
12 papers
Boundary blow-up solutions to real -Monge-Ampère equations with singular weights
Kiran Kumar Saha, Sweta Tiwari
In this paper, we study a boundary blow-up problem for real -Monge-Ampère equations of the form \begin{equation} \nonumber \left \{ \begin{aligned} & \operatorname{\det}^{\f…
Fine Boundary Regularity For The Fractional (p,q)-Laplacian
R. Dhanya, Ritabrata Jana, Uttam Kumar +1
In this article, we deal with the fine boundary regularity, a weighted Hölder regularity of weak solutions to the problem involving the fractional Laplacian denoted by $(-Δ…
Positive Solutions for Fractional p- Laplace Semipositone Problem with Superlinear Growth
R. Dhanya, Ritabrata Jana, Uttam Kumar +1
We consider a semipositone problem involving the fractional Laplace operator of the form \begin{equation*} \begin{aligned} (-Δ)_p^s u &=μ( u^{r}-1) \text{ in } Ω,\\ u &>0 \text…
Regularity results for Choquard equations involving fractional -Laplacian
Reshmi Biswas, Sweta Tiwari
In this article, first we address the regularity of weak solution for a class of -fractional Choquard equations: \begin{equation*} \;\;\; \left.\begin{array}{rl} (-Δ)_p^su&=\lef…
On a class of Kirchhoff-Choquard equations involving variable-order fractional Laplacian and without Ambrosetti-Rabinowitz type condition
Reshmi Biswas, Sweta Tiwari
In this article we study the existence of weak solution, existence of ground state solution using Nehari manifold and existence of infinitely many solutions using Fountain theorem…
Nehari manifold for fractional p(.)-Laplacian system involving concave-convex nonlinearities
Reshmi Biswas, Sweta Tiwari
In this article using Nehari manifold method we study the multiplicity of solutions of the following nonlocal elliptic system involving variable exponents and concave-convex nonlin…
Variable order nonlocal Choquard problem with variable exponents
Reshmi Biswas, Sweta Tiwari
In this article, we study the existence/multiplicity results for the following variable order nonlocal Choquard problem with variable exponents (-Δ)_{p(\cdot)}^{s(\cdot)}u(x)&=λ|u(…
A multiparameter semipositone fractional laplacian problem involving critical exponent
R. Dhanya, Sweta Tiwari
In this paper we prove the existence of at least one positive solution for nonlocal semipositone problem of the type $$ (P_λ^μ)\left\{ \begin{array}{lll} (-Δ)^s u&=& λ(u^{q}-1)+μu^…
Multiplicity and uniform estimate for a class of variable order fractional -Laplacian problems with concave-convex nonlinearities
Reshmi Biswas, Sweta Tiwari
In this article, we study the existence/multiplicity results for the following variable order nonlocal Choquard problem with variable exponents \begin{equation*} \begin{array}{rl}…
Sentiment Analysis of Review Datasets Using Naive Bayes and K-NN Classifier
Lopamudra Dey, Sanjay Chakraborty, Anuraag Biswas +2
The advent of Web 2.0 has led to an increase in the amount of sentimental content available in the Web. Such content is often found in social media web sites in the form of movie o…
Elliptic Problems in with Critical and Singular Discontinuous Nonlinearities
R. Dhanya, S. Prashanth, Sweta Tiwari +1
Let be a bounded domain in , with smooth boundary, and be real numbers. Define and the characteris…
Quasilinear parabolic problem with -Laplacian: existence, uniqueness of weak solutions and stabilization
Jacques Giacomoni, Sweta Tiwari, Guillaume Warnault
We discuss the existence and uniqueness of the weak solution of the following quasilinear parabolic equation in ; on $(0,T)\times\pa…