6 citations · 26 across the 46 of their papers we have counts for
5 papers · 2 filters
Mixed local-nonlocal quasilinear problems with mixed interpolated Hardy potential
Yergen Aikyn, Sekhar Ghosh, Vishvesh Kumar +1
This paper addresses the existence of nontrivial solutions to a class of mixed local-nonlocal problems involving a mixed interpolated Hardy potential. We first establish a concentr…
Heat equations driven by mixed local-nonlocal operators with exponential nonlinearity
Dharmendra Kumar Chaurasia, Ahmad Z. Fino, Vishvesh Kumar
We investigate the Cauchy problem for a heat equation driven by the mixed local-nonlocal operator , , with exponential nonlinearity \[ \partial_t…
Inhomogeneous parabolic equations with Hardy potential and memory on the Heisenberg group
Priyank Oza, Vishvesh Kumar, Durvudkhan Suragan
We study a class of inhomogeneous parabolic equations on the Heisenberg group $\mathbbm{H}^N$ with Hardy-type singular potentials, nonlocal memory terms, and a space-time forcing t…
Normalized solutions for a class of fractional Choquard equations with the HLS lower critical term and a nonlocal perturbation
Shaoxiong Chen, Vishvesh Kumar, Zhipeng Yang +1
In this paper, we study the mass-constrained fractional Choquard equation \( (-Δ)^s u = λu + α(I_μ* |u|^{\frac{2N-μ}{N}})|u|^{\frac{2N-μ}{N}-2}u + (I_μ* |u|^p)|u|^{p-2}u \) in \( \…
Multiplicity of Solutions to the Brezis-Nirenberg Problem on Hyperbolic Spaces
Sekhar Ghosh, Vishvesh Kumar, Tapendu Rana
This article investigates the multiplicity of solutions to the Brezis-Nirenberg problem on smooth bounded domains in the hyperbolic space for . Specifically…