2 citations · 2 across the 4 of their papers we have counts for
9 papers · 1 filter
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…
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(…