5 papers
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…
Fractional Morrey-Sobolev type embeddings and nonlocal subelliptic problems with oscillating nonlinearities on stratified Lie groups
Sekhar Ghosh, Tianxiang Gou, Vishvesh Kumar +1
In this paper, we establish the fractional Morrey-Sobolev type embeddings on stratified Lie groups. This extends and complements the Sobolev type embeddings derived in \cite{GKR}.…
Superlinear problems involving nonlinear superposition operators of mixed fractional order
Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar
In this work, we study a class of elliptic problems involving nonlinear superpositions of fractional operators of the form \[ A_{μ,p}u := \int_{[0,1]} (-Δ)_{p}^{s} u \, dμ(s), \] w…
Infinitely many solutions for nonlinear superposition operators of mixed fractional order involving critical exponent
Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar
This paper addresses a class of elliptic problems involving the superposition of nonlinear fractional operators with the critical Sobolev exponent in the sublinear regimes. We esta…
On sign-changing solutions for mixed local and nonlocal -Laplace operator
Souvik Bhowmick, Sekhar Ghosh
In this paper, we use the method of invariant sets of descending flows to demonstrate the existence of multiple sign-changing solutions for a class of elliptic problems with zero D…