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math.AP2018★ 3 cited
Neumann eigenvalue problems on the exterior domains
T. V. Anoop, Nirjan Biswas
For , we consider the following weighted Neumann eigenvalue problem on , the exterior of the closed unit ball in : \begin{equation}\label{Neumann eqn…
math.AP2018★ 13 cited
On the reverse Faber-Krahn inequalities
T. V. Anoop, K. Ashok Kumar
Payne-Weinberger showed that \textit{`among the class of membranes with given area , free along the interior boundaries and fixed along the outer boundary of given length ,…
math.AP2018★ 3 cited
On the Generalized Hardy-Rellich Inequalities
T. V. Anoop, Ujjal Das, Abhishek Sarkar
In this article, we look for the weight functions (say ) that admits the following generalized Hardy-Rellich type inequality: $ \int_Ω g(x) u^2 dx \leq C \int_Ω |Δu|^2 dx, \fora…