1 citations · 1 across the 5 of their papers we have counts for
5 papers
On the Fučík spectrum of the Logarithmic Laplacian
Rakesh Arora, Tuhina Mukherjee
In this paper, we investigate the Fučík spectrum associated with the logarithmic Laplacian. This spectrum is defined as the set of all pairs for whic…
Logarithmic double phase problems with generalized critical growth
Rakesh Arora, Ángel Crespo-Blanco, Patrick Winkert
In this paper we study logarithmic double phase problems with variable exponents involving nonlinearities that have generalized critical growth. We first prove new continuous and c…
On logarithmic double phase problems
Rakesh Arora, Ángel Crespo-Blanco, Patrick Winkert
In this paper we introduce a new logarithmic double phase type operator of the form\begin{align*}\mathcal{G}u:=-\operatorname{div}\left(|\nabla u|^{p(x)-2}\nabla u+μ(x)\left[\log(e…
Semiclassical Moser-Trudinger inequalities
Rakesh Arora, Phan Thành Nam, Phuoc-Tai Nguyen
We extend the Moser-Trudinger inequality of one function to systems of orthogonal functions. Our results are asymptotically sharp when applied to the collective behavior of eigenfu…
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}…