1 citations · 3 across the 11 of their papers we have counts for
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Existence of ground state solutions for a Choquard double phase problem
Rakesh Arora, Alessio Fiscella, Tuhina Mukherjee +1
In this paper we study quasilinear elliptic equations driven by the double phase operator involving a Choquard term of the form \begin{align*} -\mathcal{L}_{p,q}^{a}(u) + |u|^{p-2}…
On an anisotropic double phase problem with singular and sign changing nonlinearity
Prashanta Garain, Tuhina Mukherjee
This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well know…
Non-homogeneous -fractional Laplacian systems with lack of compactness
Debangana Mukherjee, Tuhina Mukherjee
The present paper studies the existence of weak solutions for the following type of non-homogeneous system of equations \begin{equation*} (S) \left\{\begin{aligned} (-Δ)^{s_1}_{p_1…
On an anisotropic p-Laplace equation with variable singular exponent
Kaushik Bal, Prashanta Garain, Tuhina Mukherjee
In this article, we study the following anisotropic p-Laplacian equation with variable exponent given by \begin{equation*} (P)\left\{\begin{split} -Δ_{H,p}u&=\frac{\la f(x)}{u^{q(x…
On the existence of three non-negative solutions for a -Laplacian system
Debangana Mukherjee, Tuhina Mukherjee
The present paper studies the existence of weak solutions for \begin{equation*} (\mathcal{P}) \left\{\begin{aligned} (-Δ)^{s_1}_{p_1} u &=\la f_1\,(x,u,v) +g_1(x,u) \,\mbox{ in }\,…
The Nehari manifold method for Fractional Kirchhoff problem involving singular and exponential nonlinearity
Tuhina Mukherjee, Mingqi Xiang
In this paper we establish the existence of at least two weak solutions for the following fractional Kirchhoff problem involving singular and exponential nonlinearity \begin{equati…