4 papers · 1 filter
Positive Solutions for a Mixed Local-Nonlocal Problem with Semipositone Nonlinearity
Komal Verma, Gaurav Dwivedi
In this article, we prove the existence of at least one positive solution for the mixed local-nonlocal semipositone problem \begin{equation*} \left\{ \begin{aligned} -Î_p u+ (-Î)…
Ground state solution for a generalized Choquard Schrodinger equation with vanishing potential in homogeneous fractional Musielak Sobolev spaces
Shilpa Gupta, Gaurav Dwivedi
This paper aims to establish the existence of a weak solution for the following problem: \begin{equation*} (-Î)^{s}_{\mathcal{H}}u(x) +V(x)h(x,x,|u|)u(x)=\left(\int_{\mathbb{R}^{N…
Brezis-Nirenberg type problem for fractional sub-Laplacian on the Heisenberg group
Vikram Yallapa Naik, Gaurav Dwivedi
In this paper, we show the existence of a weak solution for a fractional sub-Laplace equation involving a term with the critical Sobolev exponent, namely, \begin{align*} (-Î_\math…
On Choquard-Kirchhoff Type Critical Multiphase Problem
Anupma Arora, Gaurav Dwivedi
In this paper, we obtain the existence of weak solutions to the Choquard-Kirchhoff type critical multiphase problem: \begin{equation*} \left\{\begin{array}{cc} &-M(Ï_{\h}(\lvert{\…