12 citations · 12 across the 3 of their papers we have counts for
5 papers · 1 filter
Critical Sobolev Inequalities and Extremals for a Partially Fractional Grushin Operator
S. Malhotra, L. Sharma, K. Sreenadh
We study the partially fractional Grushin-type operator \begin{equation} \mathcal L_{α,β}u=(-Δ_x)^αu-(1+β)^2|x|^{2β}Δ_y u, \qquad (x,y)\in\mathbb{R}^n\times\mathbb{R}^m,\quad 0<α<1…
The isocritical regime for mixed local-nonlocal Laplacian: existence of ground state, and decay estimates
Diksha Gupta, Shammi Malhotra, K. Sreenadh
We study the mixed local-nonlocal operator in the isocritical regime , i.e. , under which both operators beco…
Normalized solutions to an exponential growth Choquard equation driven by mixed local-nonlocal operator in
Nidhi Nidhi, L. Sharma, K. Sreenadh
In this paper, we study the existence of normalized solutions to the mixed nonlinear Choquard equation with exponential growth \begin{equation} \left\{ \mathcal{L}u+λu = Λ(I_α*F(u)…
Variational inequalities for the fractional Laplacian
Roberta Musina, Alexander I. Nazarov, Konijeti Sreenadh
In this paper we study the obstacle problems for the fractional Lapalcian of order in a bounded domain , under mild assumptions on the data.
Radially symmetric solutions to the Hènon-Lane-Emden system on the critical hyperbola
Roberta Musina, K. Sreenadh
We use variational methods to study the existence of nontrivial and radially symmetric solutions to the Hènon-Lane-Emden system with weights, when the exponents involved lie on the…